The Paley--Wiener--Gelfand tauberian theorem for semigroups with invariant measure
Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 88-97
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The theorem is proved that generalizes the Gelfand generalization of the Paley–Wiener tauberian theorem to general abelian topological semigroups with invariant measure. Several corollaries of this theorem is given.
@article{TIMB_2013_21_1_a10,
author = {A. R. Mirotin},
title = {The {Paley--Wiener--Gelfand} tauberian theorem for semigroups with invariant measure},
journal = {Trudy Instituta matematiki},
pages = {88--97},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a10/}
}
A. R. Mirotin. The Paley--Wiener--Gelfand tauberian theorem for semigroups with invariant measure. Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 88-97. http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a10/