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
-
An introduction to Fourier analysis and generalised functions
Fourier analysis and generalised functions
大学図書館所蔵 全136件
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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