Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2012, Volume 403, Pages 118–141 (Mi znsl5253)  
This article is cited in 1 scientific paper (total in 1 paper)

Harmonic analysis on the infinite-dimensional unitary-symplectic group

A. Osinenko

M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (344 kB) Citations (1)
References:
PDF
HTML
Abstract: The goal of harmonic analysis on the infinite-dimensional unitary-symplectic group is to decompose a certain family of unitary representations of this group that replace the nonexisting regular representation and depend on a complex parameter. The aim of the present paper is to describe the decomposition for an integer parameter.
Key words and phrases: noncommutative harmonic analysis, characters, spectral measures, multidimensional Jacobi polynomials.
Received: 05.09.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 190, Issue 3, Pages 472–485
DOI: https://doi.org/10.1007/s10958-013-1264-2
Bibliographic databases:
Document Type: Article
UDC: 517.986.6
Language: Russian
Citation: A. Osinenko, “Harmonic analysis on the infinite-dimensional unitary-symplectic group”, Representation theory, dynamical systems, combinatorial methods. Part XXI, Zap. Nauchn. Sem. POMI, 403, POMI, St. Petersburg, 2012, 118–141; J. Math. Sci. (N. Y.), 190:3 (2013), 472–485
Citation in format AMSBIB
\Bibitem{Osi12}
\by A.~Osinenko
\paper Harmonic analysis on the infinite-dimensional unitary-symplectic group
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXI
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 403
\pages 118--141
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5253}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029585}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 190
\issue 3
\pages 472--485
\crossref{https://doi.org/10.1007/s10958-013-1264-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880613131}
Linking options:
  • https://www.mathnet.ru/eng/znsl5253
  • https://www.mathnet.ru/eng/znsl/v403/p118
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:216
    Full-text PDF :55
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024