# The Fourier integral for a certain class of distributions

Applications of Mathematics (1991)

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

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topMatušů, 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 -

## References

top- J. Mikusiński R. Sikorski, The elementary theory of distributions (I), Rozprawy matematyczne, Warszawa 1957. (1957) MR0094702
- S. Bochner K. C. Chandrasekaran, Fourier Transforms, Princeton, Princeton Univ. Press 1949. (1949) MR0031582

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