Introduction to Fourier analysis and generalised functions

著者

• Lighthill, M. J., Sir

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

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.

「Nielsen BookData」 より

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:
  • DC18 : 515.723
• 親書誌ID:
  • BA00045181