Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 23-40
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A. I. Vinogradov. Convolutions. Comparison of spectral expansions at different vertices. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 23-40. http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a3/
@article{ZNSL_1995_227_a3,
author = {A. I. Vinogradov},
title = {Convolutions. {Comparison} of spectral expansions at different vertices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {23--40},
year = {1995},
volume = {227},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a3/}
}
TY - JOUR
AU - A. I. Vinogradov
TI - Convolutions. Comparison of spectral expansions at different vertices
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 23
EP - 40
VL - 227
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a3/
LA - ru
ID - ZNSL_1995_227_a3
ER -
%0 Journal Article
%A A. I. Vinogradov
%T Convolutions. Comparison of spectral expansions at different vertices
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 23-40
%V 227
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a3/
%G ru
%F ZNSL_1995_227_a3
Two spectral expansions of one and the same convolution at two different vertices of the fundamental domain $F_q$ for the congruence group $\Gamma_0(q)$ are compared. As a result, a representation of the space of functions of a given eigenvalue $\lambda_n$ in terms of the whole remaining spectrum is obtained. Bibliography: 3 titles.
