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. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
Autore | Griffiths Phillip A. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (112 pages) : illustrations |
Disciplina | 515/.9 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Holomorphic mappings |
Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
ISBN | 1-4008-8148-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
Record Nr. | UNINA-9910154753903321 |
Griffiths Phillip A. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu |
Autore | Wu Hung-his |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (252 pages) : illustrations |
Disciplina | 517.5 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Value distribution theory
Analytic functions Functions, Meromorphic |
Soggetto non controllato |
Addition
Algebraic curve Algebraic number Atlas (topology) Binomial coefficient Cauchy–Riemann equations Compact Riemann surface Compact space Complex manifold Complex projective space Computation Continuous function (set theory) Covariant derivative Critical value Curvature form Diagram (category theory) Differential form Differential geometry of surfaces Differential geometry Dimension Divisor Essential singularity Euler characteristic Existential quantification Fiber bundle Gaussian curvature Geodesic curvature Geometry Grassmannian Harmonic function Hermann Weyl Hermitian manifold Holomorphic function Homology (mathematics) Hyperbolic manifold Hyperplane Hypersurface Improper integral Intersection number (graph theory) Isometry Line integral Manifold Meromorphic function Minimal surface Nevanlinna theory One-form Open problem Open set Orthogonal complement Parameter Picard theorem Product metric Q.E.D. Remainder Riemann sphere Riemann surface Smoothness Special case Submanifold Subset Tangent space Tangent Theorem Three-dimensional space (mathematics) Unit circle Unit vector Vector field Volume element Volume form |
ISBN | 1-4008-8190-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions |
Record Nr. | UNINA-9910154750103321 |
Wu Hung-his | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Milnor John | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto |
Autore | Dwork Bernard |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (349 pages) : illustrations |
Disciplina | 515/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
H-functions
p-adic analysis |
Soggetto non controllato |
Adjoint
Algebraic Method Algebraic closure Algebraic number field Algebraic number theory Algebraic variety Algebraically closed field Analytic continuation Analytic function Argument principle Arithmetic Automorphism Bearing (navigation) Binomial series Calculation Cardinality Cartesian coordinate system Cauchy sequence Cauchy's theorem (geometry) Coefficient Cohomology Commutative ring Complete intersection Complex analysis Conjecture Density theorem Differential equation Dimension (vector space) Direct sum Discrete valuation Eigenvalues and eigenvectors Elliptic curve Equation Equivalence class Estimation Existential quantification Exponential function Exterior algebra Field of fractions Finite field Formal power series Fuchs' theorem G-module Galois extension Galois group General linear group Generic point Geometry Hypergeometric function Identity matrix Inequality (mathematics) Intercept method Irreducible element Irreducible polynomial Laurent series Limit of a sequence Linear differential equation Lowest common denominator Mathematical induction Meromorphic function Modular arithmetic Module (mathematics) Monodromy Monotonic function Multiplicative group Natural number Newton polygon Number theory P-adic number Parameter Permutation Polygon Polynomial Projective line Q.E.D. Quadratic residue Radius of convergence Rational function Rational number Residue field Riemann hypothesis Ring of integers Root of unity Separable polynomial Sequence Siegel's lemma Special case Square root Subring Subset Summation Theorem Topology of uniform convergence Transpose Triangle inequality Unipotent Valuation ring Weil conjecture Wronskian Y-intercept |
ISBN | 1-4008-8254-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910154744303321 |
Dwork Bernard | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Knots, Groups and 3-Manifolds (AM-84), Volume 84 : Papers Dedicated to the Memory of R.H. Fox. (AM-84) / / Lee Paul Neuwirth |
Autore | Neuwirth Lee Paul |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (352 pages) : illustrations |
Disciplina | 514.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Knot theory
Group theory Three-manifolds (Topology) |
Soggetto non controllato |
3-manifold
3-sphere Additive group Alexander duality Algebraic equation Algebraic surface Algebraic variety Automorphic form Automorphism Big O notation Bilinear form Borromean rings Boundary (topology) Braid group Cartesian product Central series Chain rule Characteristic polynomial Coefficient Cohomological dimension Commutative ring Commutator subgroup Complex Lie group Complex coordinate space Complex manifold Complex number Conjugacy class Connected sum Coprime integers Coset Counterexample Cyclic group Dedekind domain Diagram (category theory) Diffeomorphism Disjoint union Divisibility rule Double coset Equation Equivalence class Euler characteristic Fiber bundle Finite group Fundamental group Generating set of a group Graded ring Graph product Group ring Group theory Groupoid Heegaard splitting Holomorphic function Homeomorphism Homological algebra Homology (mathematics) Homology sphere Homomorphism Homotopy group Homotopy sphere Homotopy Hurewicz theorem Infimum and supremum Integer matrix Integer Intersection number (graph theory) Intersection theory Knot group Knot polynomial Loop space Main diagonal Manifold Mapping cylinder Mathematical induction Meromorphic function Monodromy Monomorphism Multiplicative group Permutation Poincaré conjecture Principal ideal domain Proportionality (mathematics) Quotient space (topology) Riemann sphere Riemann surface Seifert fiber space Simplicial category Special case Spectral sequence Subgroup Submanifold Surjective function Symmetric group Symplectic matrix Theorem Three-dimensional space (mathematics) Topology Torus knot Triangle group Variable (mathematics) Weak equivalence (homotopy theory) |
ISBN | 1-4008-8151-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION / Neuwirth, L. -- BIBLIOGRAPHY, RALPH HARTZLER FOX (1913-1973) -- Knots and Links -- SYMMETRIC FIBERED LINKS / Goldsmith, Deborah L. -- KNOT MODULES / Levine, Jerome -- THE THIRD HOMOTOPY GROUP OF SOME HIGHER DIMENSIONAL KNOTS / Lomonaco, S. J . -- OCTAHEDRAL KNOT COVERS / Perko, Kenneth A. -- SOME KNOTS SPANNED BY MORE THAN ONE UNKNOTTED SURFACE OF MINIMAL GENUS / Trotter, H. F . -- GROUPS AND MANIFOLDS CHARACTERIZING LINKS / Whitten, Wilbur -- Group Theory -- HNN GROUPS AND GROUPS WITH CENTER / Cossey, John / Smythe, N. -- QUOTIENTS OF THE POWERS OF THE AUGMENTATION IDEAL IN A GROUP RING / Stallings, John R. -- KNOT-LIKE GROUPS / Strasser, Elvira Rapaport -- 3-Dimensional Manifolds -- ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS / Birman, Joan S. -- BRANCHED CYCLIC COVERINGS / Cappell, Sylvain E. / Shaneson, Julius L. -- ON THE 3-DIMENSIONAL BRIESKORN MANIFOLDS M(p,q,r) / Milnor, John -- SURGERY ON LINKS AND DOUBLE BRANCHED COVERS OF S3 / Montesinos, Jose M. -- PLANAR REGULAR COVERINGS OF ORIENTABLE CLOSED SURFACES / Papakyriakopoulos, C. D. -- INFINITELY DIVISIBLE ELEMENTS IN 3-MANIFOLD GROUPS / Shalen, Peter B. -- Backmatter |
Record Nr. | UNINA-9910154752003321 |
Neuwirth Lee Paul | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Laurent Series and their Padé Approximations / Adhemar Bultheel |
Autore | Bultheel, Adhemar |
Pubbl/distr/stampa | Basel, : Birkhäuser, 1987 |
Descrizione fisica | xi, 276 p. ; 24 cm |
Soggetto topico |
41A21 - Padé approximation [MSC 2020]
30-XX - Functions of a complex variable [MSC 2020] 30B50 - Dirichlet series, exponential series and other series in one complex variable [MSC 2020] 30B70 - Continued fractions; complex-analytic aspects [MSC 2020] |
Soggetto non controllato |
Algorithms
Boundary element method Convergence Filtering Form Graphs Matrix Meromorphic function Numerical Analysis Stochastic processes Symmetry Systems Theory |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0253566 |
Bultheel, Adhemar | ||
Basel, : Birkhäuser, 1987 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Laurent Series and their Padé Approximations / Adhemar Bultheel |
Autore | Bultheel, Adhemar |
Pubbl/distr/stampa | Basel, : Birkhäuser, 1987 |
Descrizione fisica | xi, 276 p. ; 24 cm |
Soggetto topico |
30-XX - Functions of a complex variable [MSC 2020]
30B50 - Dirichlet series, exponential series and other series in one complex variable [MSC 2020] 30B70 - Continued fractions; complex-analytic aspects [MSC 2020] 41A21 - Padé approximation [MSC 2020] |
Soggetto non controllato |
Algorithms
Boundary element method Convergence Filtering Form Graphs Matrix Meromorphic function Numerical Analysis Stochastic processes Symmetry Systems Theory |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00253566 |
Bultheel, Adhemar | ||
Basel, : Birkhäuser, 1987 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
Autore | Gunning Robert C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (108 pages) : illustrations |
Disciplina | 512.87 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Forms, Modular
Modular functions |
Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
ISBN | 1-4008-8166-8 |
Classificazione | SK 180 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
Record Nr. | UNINA-9910154753603321 |
Gunning Robert C. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Lectures on P-Adic L-Functions. (AM-74), Volume 74 / / Kinkichi Iwasawa |
Autore | Iwasawa Kinkichi |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (116 pages) |
Disciplina | 512/.74 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
L-functions
Algebraic number theory |
Soggetto non controllato |
Abelian extension
Absolute value Algebraic closure Algebraic number field Algebraic number theory Algebraic number Algebraically closed field Arithmetic function Class field theory Complex number Conjecture Cyclotomic field Dirichlet character Existential quantification Finite group Integer L-function Mellin transform Meromorphic function Multiplicative group P-adic L-function P-adic number Power series Prime number Quadratic field Rational number Real number Root of unity Scientific notation Series (mathematics) Special case Subgroup Theorem Topology |
ISBN | 1-4008-8170-6 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE / Iwasawa, Kenkichi -- CONTENTS -- §1. DIRICHLET'S L-FUNCTIONS -- §2. GENERALIZED BERNOULLI NUMBERS -- §3. p-ADIC L-FUNCTIONS -- §4. p-ADIC LOGARITHMS AND p-ADIC REGULATORS -- §5. CALCULATION OF Lp (1; χ) -- §6. AN ALTERNATE METHOD -- §7. SOME APPLICATIONS -- APPENDIX -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154753503321 |
Iwasawa Kinkichi | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|