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Fourier integral; distributions; Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine-functions
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.
[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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