Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2013, Volume 93, Issue 3, Pages 373–389
DOI: https://doi.org/10.4213/mzm9046 (Mi mzm9046) 		 
Regularized Trace of the Perturbed Laplace–Beltrami Operator on Two-Dimensional Manifolds with Closed Geodesics

T. V. Zykova

M. V. Lomonosov Moscow State University
Full-text PDF (592 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9046
Abstract: The main result of the paper is the determination of the regularized trace of the Laplace–Beltrami operator with potential on the manifold given by a function family of smooth almost Liouville metrics on the sphere (besides, all the geodesics of these metrics are closed and have equal length).
Keywords: Laplace–Beltrami operator, almost Liouville metric, two-dimensional manifold, geodesic, sphero-conical coordinates, metric, pseudodifferential operator, bundle of half-densities, Hamiltonian flow, Dirichlet series, cotangent space.
Received: 18.02.2011
English version:
Mathematical Notes, 2013, Volume 93, Issue 3, Pages 397–411
DOI: https://doi.org/10.1134/S0001434613030061
Bibliographic databases:
Document Type: Article
UDC: 517.984.5
Language: Russian
Citation: T. V. Zykova, “Regularized Trace of the Perturbed Laplace–Beltrami Operator on Two-Dimensional Manifolds with Closed Geodesics”, Mat. Zametki, 93:3 (2013), 373–389; Math. Notes, 93:3 (2013), 397–411
Citation in format AMSBIB
\Bibitem{Zyk13}
\by T.~V.~Zykova
\paper Regularized Trace of the Perturbed Laplace--Beltrami Operator on Two-Dimensional Manifolds with Closed Geodesics
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 3
\pages 373--389
\mathnet{http://mi.mathnet.ru/mzm9046}
\crossref{https://doi.org/10.4213/mzm9046}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3205982}
\elib{https://elibrary.ru/item.asp?id=20731695}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 3
\pages 397--411
\crossref{https://doi.org/10.1134/S0001434613030061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317986600006}
\elib{https://elibrary.ru/item.asp?id=20434905}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876440787}
Linking options:
  • https://www.mathnet.ru/eng/mzm9046
  • https://doi.org/10.4213/mzm9046
  • https://www.mathnet.ru/eng/mzm/v93/i3/p373
    Erratum
    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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:471
    Full-text PDF :156
    References:96
    First page:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024