The Fourier integral for a certain class of distributions
Matušů, Josef
Applications of Mathematics, Tome 36 (1991), p. 205-222 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 1991-01-01
Classification:  42A38,  44A40,  46F12 
@article{104460,
     author = {Josef Matu\v s\r u},
     title = {The Fourier integral for a certain class of distributions},
     journal = {Applications of Mathematics},
     volume = {36},
     year = {1991},
     pages = {205-222},
     zbl = {0742.46023},
     mrnumber = {1109125},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104460}
}

Matušů, Josef. The Fourier integral for a certain class of distributions. Applications of Mathematics, Tome 36 (1991) pp. 205-222. http://gdmltest.u-ga.fr/item/104460/

J. Mikusiński R. Sikorski The elementary theory of distributions (I), Rozprawy matematyczne, Warszawa 1957. (1957) | MR 0094702

S. Bochner K. C. Chandrasekaran Fourier Transforms, Princeton, Princeton Univ. Press 1949. (1949) | MR 0031582