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An Introduction to Fourier Analysis and Generalised Functions.

An Introduction to Fourier Analysis and Generalised Functions.

・ISBN 978-0-521-09128-2 paper GB£ 28.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-139-17142-7

著者・編者Lighthill, M. J.,
シリーズCambridge Monographs on Mechanics
出版社(Cambridge University Press, UK)
出版年月1958
ページ数108 pp.
言語ENG
ニュース番号<M25-10419>

解説

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.