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, 2001, Volume 35, Issue 2, Pages 37–52
DOI: https://doi.org/10.4213/faa244 (Mi faa244) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The Index Locality Principle in Elliptic Theory

V. E. Nazaikinskiia, B. Yu. Sterninb

a A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (261 kB) Citations (16)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa244
Abstract: We prove a general theorem on the behavior of the relative index under surgery for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov–Lawson, Anghel, Teleman, Booß-Bavnbek–Wojciechowski, et al. as special cases. In conjunction with some additional conditions (like symmetry conditions), this theorem permits computing the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities.
Received: 21.01.2000
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 2, Pages 111–123
DOI: https://doi.org/10.1023/A:1017527215489
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. E. Nazaikinskii, B. Yu. Sternin, “The Index Locality Principle in Elliptic Theory”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 37–52; Funct. Anal. Appl., 35:2 (2001), 111–123
Citation in format AMSBIB
\Bibitem{NazSte01}
\by V.~E.~Nazaikinskii, B.~Yu.~Sternin
\paper The Index Locality Principle in Elliptic Theory
\jour Funktsional. Anal. i Prilozhen.
\yr 2001
\vol 35
\issue 2
\pages 37--52
\mathnet{http://mi.mathnet.ru/faa244}
\crossref{https://doi.org/10.4213/faa244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850432}
\zmath{https://zbmath.org/?q=an:1001.58017}
\elib{https://elibrary.ru/item.asp?id=13975702}
\transl
\jour Funct. Anal. Appl.
\yr 2001
\vol 35
\issue 2
\pages 111--123
\crossref{https://doi.org/10.1023/A:1017527215489}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170538000004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035607966}
Linking options:
  • https://www.mathnet.ru/eng/faa244
  • https://doi.org/10.4213/faa244
  • https://www.mathnet.ru/eng/faa/v35/i2/p37
    • This publication is cited in the following 16 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:539
    Full-text PDF :229
    References:78
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024