Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 1, Pages 3–12 (Mi vmumm745)  
Mathematics

Multiple Fourier series for functions from a Zygmund class

S. L. Donskikh

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (265 kB)
Abstract: The paper concerns with necessary and sufficient conditions providing that a function of many variables with nonnegative trigonometric Fourier coefficients velongs to the big and small Zygmund classes. Earler, such a result was obtained by R. P. Boas in the one-dimensional case and by V. Fulop in the two-dimensional case.
Key words: functions of many variables, Fourier coefficients, Zygmund classes.
Received: 12.05.2008
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: S. L. Donskikh, “Multiple Fourier series for functions from a Zygmund class”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1, 3–12
Citation in format AMSBIB
\Bibitem{Don10}
\by S.~L.~Donskikh
\paper Multiple Fourier series for functions from a Zygmund class
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/vmumm745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664138}
\zmath{https://zbmath.org/?q=an:1304.42024}
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