Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sbornik: Mathematics, 2007, Volume 198, Issue 1, Pages 97–116
DOI: https://doi.org/10.1070/SM2007v198n01ABEH003830
(Mi sm1432)
 

This article is cited in 35 scientific papers (total in 35 papers)

Wavelets and spectral analysis of ultrametric pseudodifferential operators

S. V. Kozyrev

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: The spectral theory of pseudodifferential operators on ultrametric spaces of general form is investigated with the use of the analysis of ultrametric wavelets. Bases of ultrametric wavelets are constructed on ultrametric spaces of analytic type; it is proved that bases of ultrametric wavelets are bases of eigenvectors for the introduced pseudodifferential operators and the corresponding eigenvalues are calculated. A generalization of the Vladimirov operator of $p$-adic fractional derivation is introduced for general ultrametric spaces.
Bibliography: 32 titles.
Received: 24.10.2005
Bibliographic databases:
Document Type: Article
UDC: 517.983.37+517.984.57+517.518.34
MSC: 54E45, 42C40
Language: English
Original paper language: Russian
Citation: S. V. Kozyrev, “Wavelets and spectral analysis of ultrametric pseudodifferential operators”, Sb. Math., 198:1 (2007), 97–116
Citation in format AMSBIB
\Bibitem{Koz07}
\by S.~V.~Kozyrev
\paper Wavelets and spectral analysis
of~ultrametric pseudodifferential operators
\jour Sb. Math.
\yr 2007
\vol 198
\issue 1
\pages 97--116
\mathnet{http://mi.mathnet.ru//eng/sm1432}
\crossref{https://doi.org/10.1070/SM2007v198n01ABEH003830}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2330687}
\zmath{https://zbmath.org/?q=an:1172.47033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246564600005}
\elib{https://elibrary.ru/item.asp?id=9450881}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249899142}
Linking options:
  • https://www.mathnet.ru/eng/sm1432
  • https://doi.org/10.1070/SM2007v198n01ABEH003830
  • https://www.mathnet.ru/eng/sm/v198/i1/p103
  • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024