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Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
| Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust |
| Autore | Trust Salomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (348 pages) |
| Disciplina | 517.355 |
| Altri autori (Persone) |
PollardHarry
TenenbaumMorris |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Fourier series
Integrals Harmonic analysis |
| Soggetto non controllato |
Abscissa
Absolute value Absolutely integrable function Acta Mathematica Addition Additive function Affine transformation Almost periodic function Analytic function Antiderivative Arbitrarily large Arithmetic mean Augustin-Louis Cauchy Bernhard Riemann Bessel function Big O notation Borel set Boundary layer Boundary value problem Bounded function Bounded variation Calculation Cauchy principal value Characteristic function (probability theory) Coefficient Compact space Compactness theorem Complex number Continuous function Dense set Derivative Differentiable function Dirichlet series Distribution function Division by zero E. W. Hobson Eigenfunction Eigenvalues and eigenvectors Empty set Equation Existential quantification Exponential polynomial Exterior (topology) Fourier transform Function (mathematics) Functional equation Gamma function Generating function Harmonic function Initial point Integer Integral equation Interval (mathematics) Limit of a sequence Line (geometry) Linear combination Linear differential equation Mathematische Annalen Mean value theorem Monotonic function Null set Order of integration (calculus) Order of integration Order of magnitude Parameter Partial derivative Partial fraction decomposition Poisson formula Poisson summation formula Polar coordinate system Polynomial Power series Principal part Rapidity Rational function Rational number Real variable Remainder Requirement Set function Sign (mathematics) Smoothness Special case State function Step function Subsequence Summation Theorem Total variation Trigonometric integral Uniform convergence Uniqueness theorem Variable (mathematics) |
| ISBN | 1-4008-8199-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS |
| Record Nr. | UNINA-9910154749703321 |
Trust Salomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips
| Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips |
| Autore | Lax Peter D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (313 pages) |
| Disciplina | 515.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Automorphic functions
Scattering (Mathematics) |
| Soggetto non controllato |
Absolute continuity
Algebra Analytic continuation Analytic function Annulus (mathematics) Asymptotic distribution Automorphic function Bilinear form Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy sequence Change of variables Complex plane Conjugacy class Convolution Cusp neighborhood Cyclic group Derivative Differential equation Differential operator Dimension (vector space) Dimensional analysis Dirichlet integral Dirichlet series Eigenfunction Eigenvalues and eigenvectors Eisenstein series Elliptic operator Elliptic partial differential equation Equation Equivalence class Even and odd functions Existential quantification Explicit formula Explicit formulae (L-function) Exponential function Fourier transform Function space Functional analysis Functional calculus Fundamental domain Harmonic analysis Hilbert space Hyperbolic partial differential equation Infinitesimal generator (stochastic processes) Integral equation Integration by parts Invariant subspace Laplace operator Laplace transform Lebesgue measure Linear differential equation Linear space (geometry) Matrix (mathematics) Maximum principle Meromorphic function Modular group Neumann boundary condition Norm (mathematics) Null vector Number theory Operator theory Orthogonal complement Orthonormal basis Paley–Wiener theorem Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Primitive element (finite field) Principal component analysis Projection (linear algebra) Quadratic form Removable singularity Representation theorem Resolvent set Riemann hypothesis Riemann surface Riemann zeta function Riesz representation theorem Scatter matrix Scattering theory Schwarz reflection principle Selberg trace formula Self-adjoint Semigroup Sign (mathematics) Spectral theory Subgroup Subsequence Summation Support (mathematics) Theorem Trace class Trace formula Unitary operator Wave equation Weighted arithmetic mean Winding number |
| ISBN | 1-4008-8156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- LIST OF SYMBOLS -- §1. INTRODUCTION -- §2. AN ABSTRACT SCATTERING THEORY -- §3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- §5. THE AUTOMORPHIC WAVE EQUATIONS -- §6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- §7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- §8. THE GENERAL CASE -- §9. THE SELBERG TRACE FORMULA -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154746703321 |
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Lax Peter D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||