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, 2023, Volume 57, Issue 2, Pages 106–110
DOI: https://doi.org/10.4213/faa4108 (Mi faa4108) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Limit spectral measures of matrix distributions of metric triples

A. M. Vershikabc, F. V. Petrovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Full-text PDF (464 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa4108
Abstract: The notion of the limit spectral measure of a metric triple (i.e., a metric measure space) is defined. If the metric is square integrable, then the limit spectral measure is deterministic and coincides with the spectrum of the integral operator on $L^2(\mu)$ with kernel $\rho$. An example in which there is no deterministic spectral measure is constructed.
Keywords: metric triples, spectra, limit measures, Cauchy distribution.
Funding agency Grant number
Russian Science Foundation 21-11-00152
Received: 28.03.2023
Revised: 28.03.2023
Accepted: 02.04.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 2, Pages 169–172
DOI: https://doi.org/10.1134/S0016266323020089
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Vershik, F. V. Petrov, “Limit spectral measures of matrix distributions of metric triples”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 106–110; Funct. Anal. Appl., 57:2 (2023), 169–172
Citation in format AMSBIB
\Bibitem{VerPet23}
\by A.~M.~Vershik, F.~V.~Petrov
\paper Limit spectral measures of matrix distributions of metric triples
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 2
\pages 106--110
\mathnet{http://mi.mathnet.ru/faa4108}
\crossref{https://doi.org/10.4213/faa4108}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 2
\pages 169--172
\crossref{https://doi.org/10.1134/S0016266323020089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=10.1134/S0016266323020089}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85179053740}
Linking options:
  • https://www.mathnet.ru/eng/faa4108
  • https://doi.org/10.4213/faa4108
  • https://www.mathnet.ru/eng/faa/v57/i2/p106
    • This publication is cited in the following 2 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:192
    Full-text PDF :26
    References:28
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024