On the extension problem for solutions of homogeneous convolution equations
Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 507-537
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We construct a series of counterexamples showing the unimprovability of the
hypotheses of certain results related to the extension problem in the
theory of convolution equations.
Keywords:
mean periodicity, extension problem
Mots-clés : convolution equation, Fourier transform.
Mots-clés : convolution equation, Fourier transform.
@article{IM2_2011_75_3_a2,
author = {V. V. Volchkov and Vit. V. Volchkov},
title = {On the extension problem for solutions of homogeneous convolution equations},
journal = {Izvestiya. Mathematics },
pages = {507--537},
publisher = {mathdoc},
volume = {75},
number = {3},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a2/}
}
TY - JOUR AU - V. V. Volchkov AU - Vit. V. Volchkov TI - On the extension problem for solutions of homogeneous convolution equations JO - Izvestiya. Mathematics PY - 2011 SP - 507 EP - 537 VL - 75 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a2/ LA - en ID - IM2_2011_75_3_a2 ER -
V. V. Volchkov; Vit. V. Volchkov. On the extension problem for solutions of homogeneous convolution equations. Izvestiya. Mathematics , Tome 75 (2011) no. 3, pp. 507-537. http://geodesic.mathdoc.fr/item/IM2_2011_75_3_a2/