The Fourier integral for a certain class of distributions. (English) Zbl 0742.46023

The author proves a number of theorems containing formulae for Fourier integrals of Mikusiński-Sikorski’s distributions with sine- and cosine- functions.


46F12 Integral transforms in distribution spaces
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[1] J. Mikusiński R. Sikorski: The elementary theory of distributions (I). Rozprawy matematyczne, Warszawa 1957. · Zbl 0116.31902
[2] S. Bochner K. C. Chandrasekaran: Fourier Transforms. Princeton, Princeton Univ. Press 1949.
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