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Matematicheskie Zametki, 2006, Volume 79, Issue 2, Pages 178–193
DOI: https://doi.org/10.4213/mzm2688 (Mi mzm2688) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded

Sh. A. Alimov

National University of Uzbekistan named after M. Ulugbek
Full-text PDF (245 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2688
Abstract: For piecewise smooth functions, we indicate their domains of convergence and Riecz summarizability of their spectral expansions related to the Laplace operator in $\mathbb R^n$, depending on the geometry of points of discontinuity of the function being expanded.
Received: 06.12.2004
Revised: 20.04.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 2, Pages 165–177
DOI: https://doi.org/10.1007/s11006-006-0020-z
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: Sh. A. Alimov, “Dependence of the Convergence Domain of Spectral Expansions on the Geometry of the Set of Discontinuity of the Function Being Expanded”, Mat. Zametki, 79:2 (2006), 178–193; Math. Notes, 79:2 (2006), 165–177
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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