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Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
| Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
| Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
| ISBN | 1-4008-8161-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
| Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
| Autore | Rogawski Jonathan David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
| Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
| ISBN | 1-4008-8244-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
| Record Nr. | UNINA-9910154747203321 |
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Rogawski Jonathan David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910791746503321 |
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Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910809577303321 |
|
Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg
| Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (456 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Riemann surfaces
Discontinuous groups |
| Soggetto non controllato |
Abelian variety
Adjunction (field theory) Affine space Algebraic curve Algebraic structure Analytic function Arithmetic genus Automorphism Bernhard Riemann Boundary (topology) Cauchy sequence Cauchy–Schwarz inequality Cayley–Hamilton theorem Closed geodesic Combination Commutative diagram Commutator subgroup Compact Riemann surface Complex dimension Complex manifold Complex multiplication Complex space Complex torus Congruence subgroup Conjugacy class Convex set Cyclic group Degeneracy (mathematics) Diagram (category theory) Diffeomorphism Differential form Dimension (vector space) Disjoint sets E7 (mathematics) Endomorphism Equation Equivalence class Euclidean space Existence theorem Existential quantification Finite group Finitely generated group Fuchsian group Fundamental domain Fundamental lemma (Langlands program) Fundamental polygon Galois extension Holomorphic function Homeomorphism Homology (mathematics) Homomorphism Hurwitz's theorem (number theory) Inclusion map Inequality (mathematics) Inner automorphism Intersection (set theory) Irreducibility (mathematics) Isomorphism class Isomorphism theorem Jacobian variety Jordan curve theorem Kleinian group Limit point Mapping class group Metric space Monodromy Monomorphism Möbius transformation Non-Euclidean geometry Orthogonal trajectory Permutation Polynomial Power series Projective variety Quadratic differential Quadric Quasi-projective variety Quasiconformal mapping Quotient space (topology) Rectangle Riemann mapping theorem Riemann surface Schwarzian derivative Simply connected space Simultaneous equations Special case Subgroup Subsequence Surjective function Symmetric space Tangent space Teichmüller space Theorem Topological space Topology Uniqueness theorem Unit disk Variable (mathematics) Winding number Word problem (mathematics) |
| ISBN | 1-4008-8164-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE / Greenberg, L. -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS / Abikoff, William -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES / Accola, Robert D. M. -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION / Ahlfors, Lars V. -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS / Beardon, A. F. -- SPACES OF DEGENERATING RIEMANN SURFACES / Bers, Lipman -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY / Birman, Joan S. -- A NOTE ON L2 ( Γ G ) / Chen, Su-shing -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES / Chu, T. -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS / Cohn, Harvey -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES / Earle, Clifford J. -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION / Ehrenpreis, L. / Farkas, H. M. -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES / Farkas, Hershel M. -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD / Fine, Benjamin -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY / Gehring, F. W. / Kelly, J. C. -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES / Gilman, Jane -- MAXIMAL GROUPS AND SIGNATURES / Greenberg, Leon -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS / Greenberg, Leon -- CHABAUTY SPACES OF DISCRETE GROUPS / Harvey, William -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS / Hejhal, Dennis A. -- COLLARS ON RIEMANN SURFACES / Keen, Linda -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS / Kiremidjian, Garo K. -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS / Lehner, Joseph -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES / Macbeath, A. M. -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES / Maclachlan, C. -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC / Marden, Albert -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES / Martens, Henrik H. -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS / Maskit, Bernard -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES / Metzger, Thomas / Sheingorn, Mark -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS / Rauch, Harry E. -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS / Reich, Edgar -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES / Rüedy, Reto A. -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS / Strebel, Kurt -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP / Sturm, Jacob / Shinnar, Meir -- Backmatter |
| Record Nr. | UNINA-9910154754003321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik Alexander <1975-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina | 515/.48 |
| Altri autori (Persone) | NevoAmos <1966-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
| ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200803321 |
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Gorodnik Alexander <1975->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
| The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
| Autore | Gorodnik Alexander <1975-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina | 515/.48 |
| Altri autori (Persone) | NevoAmos <1966-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
| Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
| ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
| Record Nr. | UNINA-9910825184303321 |
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Gorodnik Alexander <1975->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor
| Introduction to Algebraic K-Theory. (AM-72), Volume 72 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (200 pages) |
| Disciplina | 512/.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Associative rings
Abelian groups Functor theory |
| Soggetto non controllato |
Abelian group
Absolute value Addition Algebraic K-theory Algebraic equation Algebraic integer Banach algebra Basis (linear algebra) Big O notation Circle group Coefficient Commutative property Commutative ring Commutator Complex number Computation Congruence subgroup Coprime integers Cyclic group Dedekind domain Direct limit Direct proof Direct sum Discrete valuation Division algebra Division ring Elementary matrix Elliptic function Exact sequence Existential quantification Exterior algebra Factorization Finite group Free abelian group Function (mathematics) Fundamental group Galois extension Galois group General linear group Group extension Hausdorff space Homological algebra Homomorphism Homotopy Ideal (ring theory) Ideal class group Identity element Identity matrix Integral domain Invertible matrix Isomorphism class K-theory Kummer theory Lattice (group) Left inverse Local field Local ring Mathematics Matsumoto's theorem Maximal ideal Meromorphic function Monomial Natural number Noetherian Normal subgroup Number theory Open set Picard group Polynomial Prime element Prime ideal Projective module Quadratic form Quaternion Quotient ring Rational number Real number Right inverse Ring of integers Root of unity Schur multiplier Scientific notation Simple algebra Special case Special linear group Subgroup Summation Surjective function Tensor product Theorem Topological K-theory Topological group Topological space Topology Torsion group Variable (mathematics) Vector space Wedderburn's theorem Weierstrass function Whitehead torsion |
| ISBN | 1-4008-8179-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface and Guide to the Literature -- Contents -- §1. Projective Modules and K0Λ -- §2 . Constructing Projective Modules -- §3. The Whitehead Group K1Λ -- §4. The Exact Sequence Associated with an Ideal -- §5. Steinberg Groups and the Functor K2 -- §6. Extending the Exact Sequences -- §7. The Case of a Commutative Banach Algebra -- §8. The Product K1Λ ⊗ K1Λ K2Λ -- §9. Computations in the Steinberg Group -- §10. Computation of K2Z -- §11. Matsumoto's Computation of K2 of a Field -- 12. Proof of Matsumoto's Theorem -- §13. More about Dedekind Domains -- §14. The Transfer Homomorphism -- §15. Power Norm Residue Symbols -- §16. Number Fields -- Appendix. Continuous Steinberg Symbols -- Index |
| Record Nr. | UNINA-9910154752203321 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
| Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 516.9 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hyperbolic spaces
Singularities (Mathematics) Transformations (Mathematics) Geometry, Plane |
| Soggetto non controllato |
Abelian group
Automorphism Big O notation Bijection Binary number Bisection Borel set C0 Calculation Cantor set Cartesian coordinate system Combination Compass-and-straightedge construction Congruence subgroup Conjecture Conjugacy class Continuity equation Convex lattice polytope Convex polytope Coprime integers Counterexample Cyclic group Diameter Diophantine approximation Diophantine equation Disjoint sets Disjoint union Division by zero Embedding Equation Equivalence class Ergodic theory Ergodicity Factorial Fiber bundle Fibonacci number Fundamental domain Gauss map Geometry Half-integer Homeomorphism Hyperbolic geometry Hyperplane Ideal triangle Intersection (set theory) Interval exchange transformation Inverse function Inverse limit Isometry group Lattice (group) Limit set Line segment Linear algebra Linear function Line–line intersection Main diagonal Modular group Monotonic function Multiple (mathematics) Orthant Outer billiard Parallelogram Parameter Partial derivative Penrose tiling Permutation Piecewise Polygon Polyhedron Polytope Product topology Projective geometry Rectangle Renormalization Rhombus Right angle Rotational symmetry Sanity check Scientific notation Semicircle Sign (mathematics) Special case Square root of 2. Subsequence Summation Symbolic dynamics Symmetry group Tangent Tetrahedron Theorem Toy model Translational symmetry Trapezoid Triangle group Triangle inequality Two-dimensional space Upper and lower bounds Upper half-plane Without loss of generality Yair Minsky |
| ISBN |
1-282-45858-2
9786612458583 1-4008-3197-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910781200003321 |
|
Schwartz Richard Evan
|
||
| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
| Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz |
| Autore | Schwartz Richard Evan |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 516.9 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hyperbolic spaces
Singularities (Mathematics) Transformations (Mathematics) Geometry, Plane |
| Soggetto non controllato |
Abelian group
Automorphism Big O notation Bijection Binary number Bisection Borel set C0 Calculation Cantor set Cartesian coordinate system Combination Compass-and-straightedge construction Congruence subgroup Conjecture Conjugacy class Continuity equation Convex lattice polytope Convex polytope Coprime integers Counterexample Cyclic group Diameter Diophantine approximation Diophantine equation Disjoint sets Disjoint union Division by zero Embedding Equation Equivalence class Ergodic theory Ergodicity Factorial Fiber bundle Fibonacci number Fundamental domain Gauss map Geometry Half-integer Homeomorphism Hyperbolic geometry Hyperplane Ideal triangle Intersection (set theory) Interval exchange transformation Inverse function Inverse limit Isometry group Lattice (group) Limit set Line segment Linear algebra Linear function Line–line intersection Main diagonal Modular group Monotonic function Multiple (mathematics) Orthant Outer billiard Parallelogram Parameter Partial derivative Penrose tiling Permutation Piecewise Polygon Polyhedron Polytope Product topology Projective geometry Rectangle Renormalization Rhombus Right angle Rotational symmetry Sanity check Scientific notation Semicircle Sign (mathematics) Special case Square root of 2. Subsequence Summation Symbolic dynamics Symmetry group Tangent Tetrahedron Theorem Toy model Translational symmetry Trapezoid Triangle group Triangle inequality Two-dimensional space Upper and lower bounds Upper half-plane Without loss of generality Yair Minsky |
| ISBN |
1-282-45858-2
9786612458583 1-4008-3197-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910823888503321 |
|
Schwartz Richard Evan
|
||
| Princeton, NJ, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||