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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 228–240
(Mi tm188)
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This article is cited in 2 scientific papers (total in 2 papers)
Distributions and Mnemofunctions on Adeles. Fourier Transform
E. M. Radyno, Ya. V. Radyno Belarusian State University, Faculty of Mathematics and Mechanics
Abstract:
Some classical results are recalled, and a finite part distribution is interpreted as the zero-order term in the expansion of a homogeneous distribution. An adelic finite part distribution and a generalization of the Tate distribution are defined, and their Fourier transforms are calculated. The machinery of mnemofunctions (nonlinear generalized functions) is adapted to $p$-adic and adelic cases, and product formulas for some specific distributions are given.
Received in October 2003
Citation:
E. M. Radyno, Ya. V. Radyno, “Distributions and Mnemofunctions on Adeles. Fourier Transform”, Selected topics of $p$-adic mathematical physics and analysis, Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 245, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 228–240; Proc. Steklov Inst. Math., 245 (2004), 215–227
Linking options:
https://www.mathnet.ru/eng/tm188 https://www.mathnet.ru/eng/tm/v245/p228
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Abstract page: | 437 | Full-text PDF : | 143 | References: | 66 |
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