| Title:
|
The Fourier integral for a certain class of distributions (English) |
| Author:
|
Matušů, Josef |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
205-222 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Fourier integral |
| Keyword:
|
distributions |
| Keyword:
|
Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions |
| MSC:
|
42A38 |
| MSC:
|
44A40 |
| MSC:
|
46F12 |
| idZBL:
|
Zbl 0742.46023 |
| idMR:
|
MR1109125 |
| DOI:
|
10.21136/AM.1991.104460 |
| . |
| Date available:
|
2008-05-20T18:41:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104460 |
| . |
| Reference:
|
[1] J. Mikusiński R. Sikorski: The elementary theory of distributions (I).Rozprawy matematyczne, Warszawa 1957. MR 0094702 |
| Reference:
|
[2] S. Bochner K. C. Chandrasekaran: Fourier Transforms.Princeton, Princeton Univ. Press 1949. MR 0031582 |
| . |
