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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 227, Pages 23–40 (Mi znsl4260)  
Convolutions. Comparison of spectral expansions at different vertices

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (695 kB)
Abstract: 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.
Received: 01.02.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 89, Issue 2, Pages 1092–1104
DOI: https://doi.org/10.1007/BF02355854
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: A. I. Vinogradov, “Convolutions. Comparison of spectral expansions at different vertices”, Problems in the theory of representations of algebras and groups. Part 4, Zap. Nauchn. Sem. POMI, 227, POMI, St. Petersburg, 1995, 23–40; J. Math. Sci. (New York), 89:2 (1998), 1092–1104
Citation in format AMSBIB
\Bibitem{Vin95}
\by A.~I.~Vinogradov
\paper Convolutions. Comparison of spectral expansions at different vertices
\inbook Problems in the theory of representations of algebras and groups. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 227
\pages 23--40
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4260}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374554}
\zmath{https://zbmath.org/?q=an:0898.11018}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 2
\pages 1092--1104
\crossref{https://doi.org/10.1007/BF02355854}
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