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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 3, Pages 73–76
DOI: https://doi.org/10.4213/faa3248 (Mi faa3248) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Multiplicities of Maxwell sets of Pham singularities

V. A. Vassilievab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b National Research University Higher School of Economics, Moscow, Russia
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DOI: https://doi.org/10.4213/faa3248
Abstract: A two-sided estimate of local multiplicities of Maxwell sets of isolated singularities of smooth functions is proved. This estimate is sharp for semi-homogeneous functions.
Keywords: Maxwell set, caustic, isolated singularity.
Funding agency Grant number
Russian Science Foundation 16-11-10316
Research supported by the Russian Science Foundation grant, project 16-11-10316.
Received: 19.05.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 3, Pages 225–227
DOI: https://doi.org/10.1007/s10688-016-0150-3
Bibliographic databases:
Document Type: Article
UDC: 512.717
Language: Russian
Citation: V. A. Vassiliev, “Multiplicities of Maxwell sets of Pham singularities”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 73–76; Funct. Anal. Appl., 50:3 (2016), 225–227
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3248
  • https://www.mathnet.ru/eng/faa/v50/i3/p73
    • This publication is cited in the following 1 articles:
    1. V. A. Vassiliev, “Multiplicities of bifurcation sets of Pham singularities”, Mosc. Math. J., 17:4 (2017), 825–836  mathnet  crossref  mathscinet
    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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    References:60
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