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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 228–240 (Mi tm188)  
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
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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
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
\Bibitem{RadRad04}
\by E.~M.~Radyno, Ya.~V.~Radyno
\paper Distributions and Mnemofunctions on Adeles. Fourier Transform
\inbook Selected topics of $p$-adic mathematical physics and analysis
\bookinfo Collected papers. Dedicated to the 80th birthday of academician Vasilii Sergeevich Vladimirov
\serial Trudy Mat. Inst. Steklova
\yr 2004
\vol 245
\pages 228--240
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm188}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099885}
\zmath{https://zbmath.org/?q=an:1098.11057}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 215--227
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    • This publication is cited in the following 2 articles:
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