FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 631-634

Noetherianness of convolution operators with coefficients on quotient groups

B. Ya. Steinberg

Abstract

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In the paper we study Noetherianness of convolution operators on the groups of slow growth with absolutely summable kernel and coefficients in a new class. The coefficients are the superpositions of canonic quotient-homomorphisms and functions on quotient groups. The key step is the construction of a special compactification of the topological group.

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Last modified: October 31, 2001.