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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 29–40
(Mi tm168)
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This article is cited in 3 scientific papers (total in 3 papers)
Associative Algebras of $p$-Adic Distributions
S. A. Albeverioa, A. Yu. Khrennikovb, V. M. Shelkovichc a University of Bonn, Institute for Applied Mathematics
b Växjö University
c St. Petersburg State University of Architecture and Civil Engineering
Abstract:
A $p$-adic Colombeau–Egorov algebra of generalized functions is constructed. A set of associated homogeneous $p$-adic distributions is introduced, and an associative algebra of asymptotic distributions generated by the linear span of the set of $p$-adic associated homogeneous distributions is constructed.
Received in October 2003
Citation:
S. A. Albeverio, A. Yu. Khrennikov, V. M. Shelkovich, “Associative Algebras of $p$-Adic Distributions”, 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, 29–40; Proc. Steklov Inst. Math., 245 (2004), 22–33
Linking options:
https://www.mathnet.ru/eng/tm168 https://www.mathnet.ru/eng/tm/v245/p29
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