Introduction to Fourier analysis and generalised functions
著者
書誌事項
Introduction to Fourier analysis and generalised functions
(Cambridge monographs on mechanics and applied mathematics)
Cambridge University Press, 1958
- : hard
- : pbk
- タイトル別名
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An introduction to Fourier analysis and generalised functions
Fourier analysis and generalised functions
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内容説明・目次
内容説明
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.
目次
- 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.
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