Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 70–74
DOI: https://doi.org/10.4213/faa3203 (Mi faa3203) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Determinantal Measures Related to Big $q$-Jacobi Polynomials

V. Gorinab, G. I. Olshanskiia

a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
b Massachusetts Institute of Technology
Full-text PDF (185 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3203
Abstract: We define a novel combinatorial object—the extended Gelfand–Tsetlin graph with cotransition probabilities depending on a parameter $q$. The boundary of this graph admits an explicit description. We introduce a family of probability measures on the boundary and describe their correlation functions. These measures are a $q$-analogue of the spectral measures studied earlier in the context of the problem of harmonic analysis on the infinite-dimensional unitary group.
Keywords: Gelfand–Tsetlin graph, determinantal measures, big $q$-Jacobi polynomials, basic hypergeometric series.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Received: 23.03.2015
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 214–217
DOI: https://doi.org/10.1007/s10688-015-0107-y
Bibliographic databases:
Document Type: Article
UDC: 517.587+517.588
Language: Russian
Citation: V. Gorin, G. I. Olshanskii, “Determinantal Measures Related to Big $q$-Jacobi Polynomials”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 70–74; Funct. Anal. Appl., 49:3 (2015), 214–217
Citation in format AMSBIB
\Bibitem{GorOls15}
\by V.~Gorin, G.~I.~Olshanskii
\paper Determinantal Measures Related to Big $q$-Jacobi Polynomials
\jour Funktsional. Anal. i Prilozhen.
\yr 2015
\vol 49
\issue 3
\pages 70--74
\mathnet{http://mi.mathnet.ru/faa3203}
\crossref{https://doi.org/10.4213/faa3203}
\elib{https://elibrary.ru/item.asp?id=24849970}
\transl
\jour Funct. Anal. Appl.
\yr 2015
\vol 49
\issue 3
\pages 214--217
\crossref{https://doi.org/10.1007/s10688-015-0107-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000361557200007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84942092077}
Linking options:
  • https://www.mathnet.ru/eng/faa3203
  • https://doi.org/10.4213/faa3203
  • https://www.mathnet.ru/eng/faa/v49/i3/p70
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:450
    Full-text PDF :150
    References:74
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024