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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1970 Volume 34, Issue 1, Pages 209–217 (Mi im2412)
This article is cited in 2 papers

Hilbert–Schmidt operators and the absolute convergence of fourier series

S. L. Blyumin, B. D. Kotlyar


Abstract: Sufficient conditions are proved for integral operators to belong to ideals of the ring of operators; applications of the results obtained to the question of absolute convergence of Fourier series are given.

UDC: 517.5

MSC: 42A20, 47G10, 47B15, 42A16

Received: 26.11.1966


 English version: Mathematics of the USSR-Izvestiya, 1970, 4:1, 215–223

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