Introduction to Fourier Analysis

Klappentext This monograph on generalised functions! Fourier integrals and Fourier series is intended for readers who! while accepting that a theory where each point is proved is better than one based on conjecture! nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical techniques is required; the book is suitable for advanced university students! and can be used as the basis of a short undergraduate lecture course. A valuable and original feature of the book is the use of generalised-function theory to derive a simple! widely applicable method of obtaining asymptotic expressions for Fourier transforms and Fourier coefficients. Zusammenfassung This monograph on generalised functions! Fourier integrals and Fourier series is intended for readers who! while accepting that a theory where each point is proved is better than one based on conjecture! nevertheless seek a treatment as elementary and free from complications as possible. Inhaltsverzeichnis 1. Introduction; 2. The theory of generalised functions and their Fourier transforms; 3. Definitions, properties and Fourier transforms of particular generalised functions; 4. The asymptotic estimation of Fourier transforms; 5. Fourier series; Index.

Dettagli sul prodotto

• Autori: M. J. Lighthill, M.J. Lighthill, Lighthill M. J., Lighthill M. J.
• Con la collaborazione di: G. K. Batchelor (Editore)
• Editore: Cambridge University Press Academic
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.01.1958
• EAN: 9780521091282
• ISBN: 978-0-521-09128-2
• Dimensioni: 140 mm x 215 mm x 7 mm
• Serie: Cambridge Monographs on Mechanics; Cambridge Monographs on Mechanics
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica; MATHEMATICS / Functional Analysis, Functional analysis & transforms, Functional analysis and transforms