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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2004, Volume 245, Pages 29–40 (Mi tm168)  
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
Full-text PDF (240 kB) Citations (3)
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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
Bibliographic databases:
UDC: 517.94+512.625
Language: Russian
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
Citation in format AMSBIB
\Bibitem{AlbKhrShe04}
\by S.~A.~Albeverio, A.~Yu.~Khrennikov, V.~M.~Shelkovich
\paper Associative Algebras of $p$-Adic Distributions
\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 29--40
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm168}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099865}
\zmath{https://zbmath.org/?q=an:1098.46032}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2004
\vol 245
\pages 22--33
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