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On the absolute summability of Fourier multiple series

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Publication:5621660
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DOI10.1007/BF01085351zbMath0217.44003MaRDI QIDQ5621660

S. N. Shifrin, Yurij M. Berezansky

Publication date: 1971

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)



Mathematics Subject Classification ID

Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Tensor products in functional analysis (46M05)


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Projective limit techniques for the infinite dimensional moment problem, Quasi-analyticity and Determinacy of the Full Moment Problem from Finite to Infinite Dimensions, Moment problem in infinitely many variables, Absolute Cesàro summability conditions for double trigonometric series, The spaces of trial and generalized functions of infinite number of variables, Infinite dimensional moment problem: open questions and applications, The full infinite dimensional moment problem on semi-algebraic sets of generalized functions, The full moment problem on subsets of probabilities and point configurations, Eigenfunction expansions of operators admitting separation of an infinite number of variables, Moment problem for symmetric algebras of locally convex spaces



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