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Matušů, Josef
The Fourier integral for a certain class of distributions. (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 205-222
MSC: 42A38, 44A40, 46F12 | MR 1109125 | Zbl 0742.46023 | DOI: 10.21136/AM.1991.104460
Keywords:
Fourier integral; distributions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions
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.
References:
[1] J. Mikusiński R. Sikorski: The elementary theory of distributions (I). Rozprawy matematyczne, Warszawa 1957. MR 0094702
[2] S. Bochner K. C. Chandrasekaran: Fourier Transforms. Princeton, Princeton Univ. Press 1949. MR 0031582
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