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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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An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
| An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell |
| Autore | Truesdell Clifford |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (197 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functional equations |
| Soggetto non controllato |
Addition
Antiderivative Asymptotic formula Bessel function Beta function Boundary value problem Change of variables Closed-form expression Coefficient Combination Continuous function Corollary Differential equation Enumeration Equation Existential quantification Explicit formula Exponential function Factorial Function (mathematics) Functional equation Hermite polynomials Hypergeometric function Integer Laguerre polynomials Laplace transform Legendre function Linear difference equation Linear differential equation Mathematical induction Mathematician Monomial Natural number Number theory Ordinary differential equation Parameter Periodic function Polygamma function Polynomial Potential theory Power series Rectangle Recurrence relation Remainder Scientific notation Sequent Simple function Singular solution Special case Special functions Summation Theorem Theory Uniqueness theorem Variable (mathematics) Without loss of generality |
| ISBN | 1-4008-8237-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography |
| Record Nr. | UNINA-9910154746503321 |
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Truesdell Clifford
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander
| Flows on Homogeneous Spaces. (AM-53), Volume 53 / / L. Green, F. Hahn, Louis Auslander |
| Autore | Auslander Louis |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (121 pages) |
| Disciplina | 516 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Topological dynamics |
| Soggetto non controllato |
Additive group
Affine space Automorphism Change of basis Characteristic class Cohomology Combination Compact space Complex number Complexification Constant function Continuous function Corollary Coset Dense set Diagram (category theory) Dimension (vector space) Dimension Diophantine approximation Direct integral Direct sum Eigenfunction Eigenvalues and eigenvectors Empty set Ergodic theory Ergodicity Euclidean space Exact sequence Existential quantification Exponential function Exponential map (Lie theory) Fiber bundle Finite set Fundamental domain Fundamental group General position Geodesic Group representation Haar measure Hausdorff space Hilbert space Homeomorphism Homogeneous coordinates Homogeneous space Homomorphism Horocycle Identity component Imaginary number Induced representation Integer Invariant measure Irreducible component Lebesgue measure Lie algebra Lie group Linear fractional transformation Locally compact group Mathematical induction Measure (mathematics) Morphism Nilpotent Lie algebra Nilpotent group Nilpotent Non-abelian Normal subgroup One-dimensional space One-parameter group Open set Phase space Pointwise Projection (linear algebra) Regular element Remainder Representation theory Riemannian manifold Root system Semidirect product Solvable Lie algebra Solvable group Special case Stone's theorem Subalgebra Subgroup Subset Tangent space Tangent vector Theorem Three-dimensional space (mathematics) Topological group Topology Transformation matrix Transitive relation Two-dimensional space Unit sphere Unit vector Unitary operator Unitary representation Unitary transformation Vector space Without loss of generality |
| ISBN | 1-4008-8202-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- CONTENTS -- CHAPTER I. AN OUTLINE OF RESULTS ON SOLVMANIFOLDS / Auslander, Louis -- CHAPTER II. ERGODIC THEORY AND GROUP REPRESENTATIONS / Green, L. -- CHAPTER III. FLOWS ON SOME THREE DIMENSIONAL HOMOGENEOUS SPACES / Auslander, L. / Green, L. / Hahn, F. -- APPENDIX TO III. ON THE FUNDAMENTAL GROUP OF CERTAIN FIBRE SPACES / Massey, W. -- CHAPTER IV. MINIMAL FLOWS ON NILMANIFOLDS / Auslander, L. / Hahn, F. / Markus, L. -- CHAPTER V. NILFLOWS, MEASURE THEORY / Green, L. -- CHAPTER VI. FLOWS ON CERTAIN SOLVMANIFOLDS NOT OF TYPE E / Auslander, L. / Hahn, F. -- CHAPTER VII. FLOWS IN TYPE (E) SOLVMANIFOLDS / Green, L. -- APPENDIX TO VII. A THEOREM ON DISCRETE SUBGROUPS OF SOLVABLE GROUPS OF TYPE (E) / Auslander, L. -- CHAPTER VIII. AN APPLICATION OF NILFLOWS TO DIOPHANTINE APPROXIMATIONS / Auslander, L. / Hahn, F. -- CHAPTER IX. DISCRETE GROUPS WITH DENSE ORBITS / Greenberg, Leon -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154748203321 |
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Auslander Louis
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
| Autore | Freidlin Mark Iosifovich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
| Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
| ISBN | 1-4008-8159-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154753703321 |
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Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
| 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 |
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Dwork Bernard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
| Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera |
| Autore | Kumpera Antonio |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Lie groups
Lie algebras Differential equations |
| Soggetto non controllato |
Adjoint representation
Adjoint Affine transformation Alexander Grothendieck Analytic function Associative algebra Atlas (topology) Automorphism Bernhard Riemann Big O notation Bundle map Category of topological spaces Cauchy–Riemann equations Coefficient Commutative diagram Commutator Complex conjugate Complex group Complex manifold Computation Conformal map Continuous function Coordinate system Corollary Cotangent bundle Curvature tensor Deformation theory Derivative Diagonal Diffeomorphism Differentiable function Differential form Differential operator Differential structure Direct proof Direct sum Ellipse Endomorphism Equation Exact sequence Exactness Existential quantification Exponential function Exponential map (Riemannian geometry) Exterior derivative Fiber bundle Fibration Frame bundle Frobenius theorem (differential topology) Frobenius theorem (real division algebras) Group isomorphism Groupoid Holomorphic function Homeomorphism Integer J-invariant Jacobian matrix and determinant Jet bundle Linear combination Linear map Manifold Maximal ideal Model category Morphism Nonlinear system Open set Parameter Partial derivative Partial differential equation Pointwise Presheaf (category theory) Pseudo-differential operator Pseudogroup Quantity Regular map (graph theory) Requirement Riemann surface Right inverse Scalar multiplication Sheaf (mathematics) Special case Structure tensor Subalgebra Subcategory Subgroup Submanifold Subset Tangent bundle Tangent space Tangent vector Tensor field Tensor product Theorem Torsion tensor Transpose Variable (mathematics) Vector bundle Vector field Vector space Volume element |
| ISBN | 1-4008-8173-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index |
| Record Nr. | UNINA-9910154751903321 |
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Kumpera Antonio
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant
| Matrices, moments, and quadrature with applications [[electronic resource] /] / Gene H. Golub and Gerard Meurant |
| Autore | Golub Gene H (Gene Howard), <1932-2007.> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (376 p.) |
| Disciplina | 512.9434 |
| Altri autori (Persone) | MeurantGérard A |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Matrices
Numerical analysis |
| Soggetto non controllato |
Algorithm
Analysis of algorithms Analytic function Asymptotic analysis Basis (linear algebra) Basis function Biconjugate gradient method Bidiagonal matrix Bilinear form Calculation Characteristic polynomial Chebyshev polynomials Coefficient Complex number Computation Condition number Conjugate gradient method Conjugate transpose Cross-validation (statistics) Curve fitting Degeneracy (mathematics) Determinant Diagonal matrix Dimension (vector space) Eigenvalues and eigenvectors Equation Estimation Estimator Exponential function Factorization Function (mathematics) Function of a real variable Functional analysis Gaussian quadrature Hankel matrix Hermite interpolation Hessenberg matrix Hilbert matrix Holomorphic function Identity matrix Interlacing (bitmaps) Inverse iteration Inverse problem Invertible matrix Iteration Iterative method Jacobi matrix Krylov subspace Laguerre polynomials Lanczos algorithm Linear differential equation Linear regression Linear subspace Logarithm Machine epsilon Matrix function Matrix polynomial Maxima and minima Mean value theorem Meromorphic function Moment (mathematics) Moment matrix Moment problem Monic polynomial Monomial Monotonic function Newton's method Numerical analysis Numerical integration Numerical linear algebra Orthogonal basis Orthogonal matrix Orthogonal polynomials Orthogonal transformation Orthogonality Orthogonalization Orthonormal basis Partial fraction decomposition Polynomial Preconditioner QR algorithm QR decomposition Quadratic form Rate of convergence Recurrence relation Regularization (mathematics) Rotation matrix Singular value Square (algebra) Summation Symmetric matrix Theorem Tikhonov regularization Trace (linear algebra) Triangular matrix Tridiagonal matrix Upper and lower bounds Variable (mathematics) Vector space Weight function |
| ISBN |
1-282-45801-9
1-282-93607-7 9786612458019 1-4008-3388-4 |
| Classificazione | SK 915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- PART 1. Theory -- Chapter 1. Introduction -- Chapter 2. Orthogonal Polynomials -- Chapter 3. Properties of Tridiagonal Matrices -- Chapter 4. The Lanczos and Conjugate Gradient Algorithms -- Chapter 5. Computation of the Jacobi Matrices -- Chapter 6. Gauss Quadrature -- Chapter 7. Bounds for Bilinear Forms uTƒ(A)v -- Chapter 8. Extensions to Nonsymmetric Matrices -- Chapter 9. Solving Secular Equations -- PART 2. Applications -- Chapter 10. Examples of Gauss Quadrature Rules -- Chapter 11. Bounds and Estimates for Elements of Functions of Matrices -- Chapter 12. Estimates of Norms of Errors in the Conjugate Gradient Algorithm -- Chapter 13. Least Squares Problems -- Chapter 14. Total Least Squares -- Chapter 15. Discrete Ill-Posed Problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910780861503321 |
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Golub Gene H (Gene Howard), <1932-2007.>
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| Princeton, N.J., : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
| Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl |
| Autore | Weyl Hermann |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions |
| Soggetto non controllato |
Algebraic curve
Algebraic equation Algebraic function Algebraic surface Analytic continuation Analytic function Arc (geometry) Argument principle Basis (linear algebra) Bernhard Riemann Betti number Big O notation Boundary value problem C-function C0 Characteristic function (probability theory) Circumference Coefficient Combination Compact Riemann surface Compact space Complex analysis Complex number Computation Concentric Conformal map Continuous function Coordinate system Degeneracy (mathematics) Derivative Diameter Differential form Dimension Disk (mathematics) Dual curve Entire function Equation Equidistant Euler characteristic Existential quantification Exponential function Exterior (topology) Floor and ceiling functions Fundamental theorem Gauge factor General position Geometry Harmonic function Heine–Borel theorem Hermann Weyl Homogeneous coordinates Improper integral Integer Interior (topology) Inverse function Limit superior and limit inferior Line integral Linear differential equation Linear map Local parameter Logarithm Logarithmic derivative Mathematics Maximum principle Meromorphic function Modular form Modular group Moduli (physics) Monodromy theorem Multiple integral Natural number Notation Order by Parallelepiped Parameter Polyad Polynomial Power series Prime number Probability Projection (mathematics) Quantity Rational function Real variable Rectangle Residue theorem Riemann integral Riemann surface Rotational symmetry Second derivative Simply connected space Subset Summation Theorem Theory Topological space Total order Unit circle Unit vector Variable (mathematics) |
| ISBN | 1-4008-8228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- Backmatter |
| Record Nr. | UNINA-9910154746403321 |
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Weyl Hermann
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Orthogonal polynomials and special functions : computation and applications / Francisco Marcellan, Walter Van Assche (eds.)
| Orthogonal polynomials and special functions : computation and applications / Francisco Marcellan, Walter Van Assche (eds.) |
| Pubbl/distr/stampa | Berlin, : Springer, 2006 |
| Descrizione fisica | XIV, 418 p. ; 24 cm |
| Soggetto topico |
33C45 - Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [MSC 2020]
33C50 - Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable [MSC 2020] 33E17 - Painlevé-type functions [MSC 2020] 42C05 - Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis [MSC 2020] 41A55 - Approximate quadratures [MSC 2020] 65Exx - Numerical methods in complex analysis (potential theory, etc.) [MSC 2020] 65Dxx - Numerical approximation and computational geometry (primarily algorithms) [MSC 2020] 65F25 - Orthogonalization in numerical linear algebra [MSC 2020] 33F05 - Numerical approximation and evaluation of special functions [MSC 2020] |
| Soggetto non controllato |
Askey scheme
Difference equations Differential equations Exponential function Logarithm MATLAB Numerical linear algebra Orthogonal polynomials Painlevé equations Partial differential equations Quadrature Special functions |
| ISBN | 978-35-403-1062-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0058055 |
| Berlin, : Springer, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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