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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya: Mathematics, 1998, Volume 62, Issue 6, Pages 1169–1188
DOI: https://doi.org/10.1070/im1998v062n06ABEH000222 (Mi im222) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms

A. N. Kochubei

Institute of Mathematics, Ukrainian National Academy of Sciences
English version PDF (245 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.1070/im1998v062n06ABEH000222
Abstract: We construct and study fundamental solutions corresponding to certain classes of pseudodifferential operators with symbols of the form $|h(\xi )|_p^\alpha$, $\alpha>0$, where $h(\xi)$, $\xi=(\xi_1,\dots,\xi_n)$, is a non-degenerate $p$-adic quadratic form.
Received: 25.04.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 6, Pages 103–124
DOI: https://doi.org/10.4213/im222
Bibliographic databases:
MSC: 26E30, 30G06
Language: English
Original paper language: Russian
Citation: A. N. Kochubei, “Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms”, Izv. RAN. Ser. Mat., 62:6 (1998), 103–124; Izv. Math., 62:6 (1998), 1169–1188
Citation in format AMSBIB
\Bibitem{Koc98}
\by A.~N.~Kochubei
\paper Fundamental solutions of pseudodifferential equations connected with $p$-adic quadratic forms
\jour Izv. RAN. Ser. Mat.
\yr 1998
\vol 62
\issue 6
\pages 103--124
\mathnet{http://mi.mathnet.ru/im222}
\crossref{https://doi.org/10.4213/im222}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1680862}
\zmath{https://zbmath.org/?q=an:0934.35218}
\transl
\jour Izv. Math.
\yr 1998
\vol 62
\issue 6
\pages 1169--1188
\crossref{https://doi.org/10.1070/im1998v062n06ABEH000222}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000081370400005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-22644449519}
Linking options:
  • https://www.mathnet.ru/eng/im222
  • https://doi.org/10.1070/im1998v062n06ABEH000222
  • https://www.mathnet.ru/eng/im/v62/i6/p103
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:400
    Russian version PDF:190
    English version PDF:28
    References:49
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024