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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 3, Pages 383–394
DOI: https://doi.org/10.4213/tmf31
(Mi tmf31)
 

This article is cited in 68 scientific papers (total in 68 papers)

$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets

S. V. Kozyrev

N. N. Semenov Institute of Chemical Physics, Russian Academy of Sciences
References:
Abstract: We introduce a new wide class of $p$-adic pseudodifferential operators. We show that the basis of $p$-adic wavelets is the basis of eigenvectors for the introduced operators.
Keywords: $p$-adic diffusion.
Received: 15.12.2002
Revised: 15.04.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 3, Pages 322–332
DOI: https://doi.org/10.1023/B:TAMP.0000018449.72502.6f
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Kozyrev, “$p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets”, TMF, 138:3 (2004), 383–394; Theoret. and Math. Phys., 138:3 (2004), 322–332
Citation in format AMSBIB
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\paper $p$-Adic Pseudodifferential Operators and $p$-Adic Wavelets
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\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 138
\issue 3
\pages 322--332
\crossref{https://doi.org/10.1023/B:TAMP.0000018449.72502.6f}
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Linking options:
  • https://www.mathnet.ru/eng/tmf31
  • https://doi.org/10.4213/tmf31
  • https://www.mathnet.ru/eng/tmf/v138/i3/p383
  • This publication is cited in the following 68 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:888
    Full-text PDF :264
    References:111
    First page:2
     
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