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Matematicheskie Zametki, 2017, Volume 102, Issue 3, Pages 405–414
DOI: https://doi.org/10.4213/mzm11344 (Mi mzm11344) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Spectral Asymptotics for Problems with Integral Constraints

Yu. P. Petrova

Saint Petersburg State University
Full-text PDF (521 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11344
Abstract: The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of $n$th order.
Keywords: spectral asymptotics, Gaussian process, small deviation.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00258а
This work was supported by the Russian Foundation for Basic Research under grant 16-01-00258a.
Received: 13.08.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 3, Pages 369–377
DOI: https://doi.org/10.1134/S0001434617090073
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Yu. P. Petrova, “Spectral Asymptotics for Problems with Integral Constraints”, Mat. Zametki, 102:3 (2017), 405–414; Math. Notes, 102:3 (2017), 369–377
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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    References:65
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