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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)
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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
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    • 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
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