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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 2, Pages 631–634
(Mi fpm576)
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Short communications
Noetherianness of convolution operators with coefficients on quotient groups
B. J. Steinberg Rostov State University
Abstract:
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.
Received: 01.12.1996
Citation:
B. J. Steinberg, “Noetherianness of convolution operators with coefficients on quotient groups”, Fundam. Prikl. Mat., 7:2 (2001), 631–634
Linking options:
https://www.mathnet.ru/eng/fpm576 https://www.mathnet.ru/eng/fpm/v7/i2/p631
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