Introduction to Fourier analysis and generalised functions

書誌事項

Introduction to Fourier analysis and generalised functions

by M.J. Lighthill

(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

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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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詳細情報

  • NII書誌ID(NCID)
    BA00464388
  • ISBN
    • 0521055563
    • 0521091284
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge [Cambridgeshire]
  • ページ数/冊数
    viii, 79 p.
  • 大きさ
    22 cm
  • 分類
  • 親書誌ID
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