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, 2008, Volume 72, Issue 5, Pages 915–976
DOI: https://doi.org/10.1070/IM2008v072n05ABEH002424 (Mi im2680) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Harmonic analysis on local fields and adelic spaces. I

D. V. Osipov, A. N. Parshin

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (664 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM2008v072n05ABEH002424
Abstract: We develop harmonic analysis on the objects of a category $C_2$ of infinite-dimensional filtered vector spaces over a finite field. This category includes two-dimensional local fields and adelic spaces of algebraic surfaces defined over a finite field. As the main result, we construct the theory of the Fourier transform on these objects and obtain two-dimensional Poisson formulae.
Received: 20.06.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2008, Volume 72, Issue 5, Pages 77–140
DOI: https://doi.org/10.4213/im2680
Bibliographic databases:
Document Type: Article
UDC: 512.75
MSC: 11R56, 18B30, 43A80
Language: English
Original paper language: Russian
Citation: D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. I”, Izv. RAN. Ser. Mat., 72:5 (2008), 77–140; Izv. Math., 72:5 (2008), 915–976
Citation in format AMSBIB
\Bibitem{OsiPar08}
\by D.~V.~Osipov, A.~N.~Parshin
\paper Harmonic analysis on local fields and adelic spaces.~I
\jour Izv. RAN. Ser. Mat.
\yr 2008
\vol 72
\issue 5
\pages 77--140
\mathnet{http://mi.mathnet.ru/im2680}
\crossref{https://doi.org/10.4213/im2680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2473773}
\zmath{https://zbmath.org/?q=an:05496895}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008IzMat..72..915O}
\elib{https://elibrary.ru/item.asp?id=20358652}
\transl
\jour Izv. Math.
\yr 2008
\vol 72
\issue 5
\pages 915--976
\crossref{https://doi.org/10.1070/IM2008v072n05ABEH002424}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261096200003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56849096051}
Linking options:
  • https://www.mathnet.ru/eng/im2680
  • https://doi.org/10.1070/IM2008v072n05ABEH002424
  • https://www.mathnet.ru/eng/im/v72/i5/p77
    Cycle of papers
    This publication is cited in the following 12 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:929
    Russian version PDF:277
    English version PDF:12
    References:72
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024