Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 631-634
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B. J. Steinberg. Noetherianness of convolution operators with coefficients on quotient groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 2, pp. 631-634. http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a19/
@article{FPM_2001_7_2_a19,
author = {B. J. Steinberg},
title = {Noetherianness of convolution operators with coefficients on quotient groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {631--634},
year = {2001},
volume = {7},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a19/}
}
TY - JOUR
AU - B. J. Steinberg
TI - Noetherianness of convolution operators with coefficients on quotient groups
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 631
EP - 634
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a19/
LA - ru
ID - FPM_2001_7_2_a19
ER -
%0 Journal Article
%A B. J. Steinberg
%T Noetherianness of convolution operators with coefficients on quotient groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 631-634
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_2_a19/
%G ru
%F FPM_2001_7_2_a19
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.
