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This article is cited in 1 scientific paper (total in 1 paper)
Fourier ultrahyperfunctions
V. V. Zharinov
Abstract:
This article is devoted to a systematic study of one class of analytic functionals, called the Fourier ultrahyperfunctions. Distributive lattices of subspaces of Fourier ultrahyperfunctions are determined, and the Fourier and Laplace transforms as well as multipliers and convolutors are described. For a suitable class of analytic functions the concept of the boundary value is introduced, and a theorem of the type of Bogolyubov's "edge-of-the-wedge" theorem is established.
Bibliography: 21 titles.
Received: 20.09.1979
Citation:
V. V. Zharinov, “Fourier ultrahyperfunctions”, Math. USSR-Izv., 16:3 (1981), 479–511
Linking options:
https://www.mathnet.ru/eng/im1738https://doi.org/10.1070/IM1981v016n03ABEH001319 https://www.mathnet.ru/eng/im/v44/i3/p533
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Abstract page: | 457 | Russian version PDF: | 143 | English version PDF: | 22 | References: | 83 | First page: | 3 |
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