The Fourier integral for a certain class of distributions

Josef Matušů

Applications of Mathematics (1991)

  • Volume: 36, Issue: 3, page 205-222
  • ISSN: 0862-7940

Abstract

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The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.

How to cite

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Matušů, Josef. "The Fourier integral for a certain class of distributions." Applications of Mathematics 36.3 (1991): 205-222. <http://eudml.org/doc/15674>.

@article{Matušů1991,
abstract = {The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.},
author = {Matušů, Josef},
journal = {Applications of Mathematics},
keywords = {Fourier integral; distributions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions},
language = {eng},
number = {3},
pages = {205-222},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Fourier integral for a certain class of distributions},
url = {http://eudml.org/doc/15674},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Matušů, Josef
TI - The Fourier integral for a certain class of distributions
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 3
SP - 205
EP - 222
AB - The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
LA - eng
KW - Fourier integral; distributions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions
UR - http://eudml.org/doc/15674
ER -

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