Convolution equations on a finite interval for a class of symbols
Izvestiya. Mathematics , Tome 16 (1981) no. 2, pp. 291-356
Voir la notice de l'article provenant de la source Math-Net.Ru
A class of convolution equations is introduced on a finite interval, which is a generalization of a series of examples encountered in mathematical physics and other fields and for which a certain analogue of the Wiener–Hopf method is developed. As a corollary the Fredholm property is established for general convolution operators on a finite interval with symbols having polynomial growth at infinity in Sobolev spaces of generalized functions.
Bibliography: 31 titles.
@article{IM2_1981_16_2_a4,
author = {B. V. Pal'tsev},
title = {Convolution equations on a finite interval for a class of symbols},
journal = {Izvestiya. Mathematics },
pages = {291--356},
publisher = {mathdoc},
volume = {16},
number = {2},
year = {1981},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1981_16_2_a4/}
}
B. V. Pal'tsev. Convolution equations on a finite interval for a class of symbols. Izvestiya. Mathematics , Tome 16 (1981) no. 2, pp. 291-356. http://geodesic.mathdoc.fr/item/IM2_1981_16_2_a4/