Theories of generalised functions : distributions, ultradistributions and other generalised functions

著者

書誌事項

Theories of generalised functions : distributions, ultradistributions and other generalised functions

R.F. Hoskins and J. Sousa Pinto

Woodhead Pub., 2011

  • pbk.

タイトル別名

Distributions, ultradistributions and other generalised functions

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注記

Bibliographical references : p. 296-291

Includes index

内容説明・目次

内容説明

Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins.

目次

  • Introduction to distributions
  • Further properties of distributions
  • Generalised functions and fourier analysis
  • Analytic representation
  • Multiplication of generalised functions
  • Infinitesimal analysis
  • Non-standard theories
  • References and index.

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