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JOURNALS // Problemy Peredachi Informatsii // Archive
Probl. Peredachi Inf., 1984 Volume 20, Issue 3, Pages 79–93 (Mi ppi1145)
Methods of Signal Processing

On Almost-Certain Convergence of Multiple Kotel'nikov–Shannon Series

O. I. Klesov


Abstract: The author considers multiple Kotel'nikov–Shannon series that correspond to homogeneous random fields with a bounded spectrum. Conditions for almost certain convergence of such series are given.

UDC: 621.391.14:519.2

Received: 27.07.1982


 English version: Problems of Information Transmission, 1984, 20:3, 218–231

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© Steklov Math. Inst. of RAS, 2025