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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 3, Pages 76–80
DOI: https://doi.org/10.4213/faa76 (Mi faa76) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Brief communications

Cohomology of Sheaves of Fréchet Algebras and Spectral Theory

A. A. Dosiev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (184 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa76
Abstract: We propose a holomorphic functional calculus for a noncommutative operator family generating a supernilpotent Lie subalgebra. This calculus extends Taylor's holomorphic functional calculus.
Keywords: functional calculus, Putinar spectrum, sheaf of Fréchet algebras, sheaf cohomology.
Received: 10.12.2003
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 3, Pages 225–228
DOI: https://doi.org/10.1007/s10688-005-0041-5
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. A. Dosiev, “Cohomology of Sheaves of Fréchet Algebras and Spectral Theory”, Funktsional. Anal. i Prilozhen., 39:3 (2005), 76–80; Funct. Anal. Appl., 39:3 (2005), 225–228
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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    Full-text PDF :208
    References:69
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