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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 1, Pages 90–96
DOI: https://doi.org/10.4213/faa2975 (Mi faa2975) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Schwartz Kernel Asymptotics and Regularized Traces of Diffusion Semigroups

S. A. Stepinab

a M. V. Lomonosov Moscow State University
b University of Białystok
Full-text PDF (195 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa2975
Abstract: The relationship between the parametrix of a diffusion type parabolic equation and the path integral representation of its fundamental solution provides an approach to computing the coefficients in the asymptotic expansion of the diffusion kernel constructively. The upper and lower bounds obtained in this paper for the regularized trace of the corresponding evolution semigroup strengthen and supplement the estimates which can be established by other methods.
Keywords: diffusion semigroup, short-time asymptotics, regularized trace, parametrix, Feynman–Kac formula.
Received: 06.02.2008
Revised: 05.02.2008
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 1, Pages 76–80
DOI: https://doi.org/10.1007/s10688-010-0010-5
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Stepin, “Schwartz Kernel Asymptotics and Regularized Traces of Diffusion Semigroups”, Funktsional. Anal. i Prilozhen., 44:1 (2010), 90–96; Funct. Anal. Appl., 44:1 (2010), 76–80
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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