Principles of Fourier Analysis / Kenneth, B. HOWELL

Titre : Principles of Fourier Analysis Type de document : texte imprimé Auteurs : Kenneth, B. HOWELL, Auteur Mention d'édition : 2nd edition Editeur : CRC Press, Inc. Année de publication : 2017 Collection : Textbooks in Mathematics Importance : 788 p. ISBN/ISSN/EAN : 978-1-4987-3409-7 Note générale : Contents Preface Sample Courses Tables References Answers to Selected Exercices Index Langues : Anglais (eng) Catégories : Fourier, Analyse de Fourier, Transformations de Mathématiques Index. décimale : 515 Analyse Résumé : PRELIMINARIES The Starting Point Basic Terminology, Notation and Conventions Basic Analysis I : Continuity and Smoothness Basic Analysis II : Integration and Infinite Series Symmetry and Periodicity Elementary Complex Analysis Functions of Several Variables FOURIER SERIES Heuristic Derivation of the Fourier Series Formulas The Trigonometric Fourier Series Fourier Series over Finite Inervals (Sine and Cosine Series) Inner Products, Norms and Orthogonality The Complex Exponential Fourier Series Convergence and Fourier's Conjecture Convergence and Fourier's Conjecture : The Proofs Derivatives and Integrals of Fourier Series Applications CLASSICAL FOURIER TRANSFORMS Heuristic Derivation of the Classical Fourier Transform Integrals on Infinite Intervals The Fourier Integral Transforms Classical Fourier Transforms and Classically Transformable Functions Some Elementary Identities : Translation, Scalling and Conjugaison Differentiation and Fourier Transforms Gaussians and Gaussian-Like Functions Convolution and Transforms of Products Correlation, Square-Integrable Functions and the Fundamental Identity Generalizing the Classical Theory : A Naive Approach Fourier Analysis in the Analysis of Systems Multi-dimensional Fourier Transforms Identity Sequences Gaussians as Test Functions and Proofs of Important Theorems GENERALIZED FUNCTIONS AND FOURIER TRANSFORMS A Starting Point for the Generalized Theory Gaussian Test Functions Generalized Functions Sequences and Series of Generalized Functions Basic Transforms of Generalized Fourier Analysis Generalized Products, Convolutions and Definite Integrals Periodic Functions and Regular Arrays Pole Function and General Solutions to Simple Equations THE DISCRETE THEORY Periodic, Regular Arrays Sampling, Discrete Fourier Transforms and FFTs

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
B00013047	515 HOW	Ouvrage	BIBLIOTHÈQUE - ACCÈS LIBRE	500 - Sciences - Mathématiques	Sorti jusqu'au 15/05/2026

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