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Izvestiya: Mathematics, 2006, Volume 70, Issue 4, Pages 641–660
DOI: https://doi.org/10.1070/IM2006v070n04ABEH002322 (Mi im592) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On local behaviour of multi-dimensional harmonic variation

A. N. Bakhvalov

M. V. Lomonosov Moscow State University
English version PDF (319 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM2006v070n04ABEH002322
Abstract: In this paper, we study the behaviour of harmonic variation in a neighbourhood of a regular point for functions belonging to some multi-dimensional Waterman classes. As a consequence, some new results are obtained on the convergence of multiple trigonometric Fourier series for functions in these classes.
Keywords: Local extremal problems for bounded analytic nonvanishing functions; multiple Fourier series.
Received: 28.09.2005
Bibliographic databases:
UDC: 517.518
MSC: 26A45, 26B30, 42A20, 42A38, 42B35, 42B10
Language: English
Original paper language: Russian
Citation: A. N. Bakhvalov, “On local behaviour of multi-dimensional harmonic variation”, Izv. Math., 70:4 (2006), 641–660
Citation in format AMSBIB
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\by A.~N.~Bakhvalov
\paper On local behaviour of multi-dimensional harmonic variation
\jour Izv. Math.
\yr 2006
\vol 70
\issue 4
\pages 641--660
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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