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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2004 Volume 195, Number 9, Pages 37–56 (Mi sm844)

This article is cited in 3 papers

Approximation theorem for a homogeneous vector convolution equation

I. F. Krasichkov-Ternovskii

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: A simple proof of the well-known approximation theorem for the homogeneous convolution equation is presented. The method used in the proof makes it possible to extend this result to the more general case of vector convolution.

UDC: 517.59

MSC: Primary 45E10; Secondary 32Axx

Received: 25.06.2003

DOI: 10.4213/sm844


 English version:
Sbornik: Mathematics, 2004, 195:9, 1271–1289

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© Steklov Math. Inst. of RAS, 2026