Introduction to Fourier analysis and generalised functions:

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 deta...

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Beteilige Person: Lighthill, M. J.
Format: E-Book
Sprache:Englisch
Veröffentlicht: Cambridge Cambridge University Press 1958
Schriftenreihe:Cambridge monographs on mechanics
Links:https://doi.org/10.1017/CBO9781139171427
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. 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.
Umfang:1 Online-Ressource (viii, 79 Seiten)
ISBN:9781139171427