Geodesic
The Fourier integral for a certain class of distributions
Applications of Mathematics, Tome 36 (1991) no. 3, pp. 205-222

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MR Zbl
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.
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.
DOI : 10.21136/AM.1991.104460
Classification : 42A38, 44A40, 46F12
Keywords: Fourier integral; distributions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions 
Matušů, Josef. The Fourier integral for a certain class of distributions. Applications of Mathematics, Tome 36 (1991) no. 3, pp. 205-222. doi: 10.21136/AM.1991.104460
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[1] J. Mikusiński R. Sikorski: The elementary theory of distributions (I). Rozprawy matematyczne, Warszawa 1957. | MR

[2] S. Bochner K. C. Chandrasekaran: Fourier Transforms. Princeton, Princeton Univ. Press 1949. | MR

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