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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 116, Pages 119–141 (Mi znsl1758)  

This article is cited in 1 scientific paper (total in 1 paper)

Expansion of automorphic functions

N. V. Proskurin
Abstract: This paper proposes a method of expansion for automorphic functions on Lie groups, which generalizes the usual Fourier series expansion of automorphic functions on $SL_2(\mathbf R)/SO(2)$. Detailed consideration is given to the special case of the expansion of functions on $SL_3(\mathbf R)/SO(3)$, which are automorphic with respect to $SL_3(\mathbf Z)$.
English version:
Journal of Soviet Mathematics, 1984, Volume 26, Issue 3, Pages 1908–1921
DOI: https://doi.org/10.1007/BF01670579
Bibliographic databases:
UDC: 511.3
Language: Russian
Citation: N. V. Proskurin, “Expansion of automorphic functions”, Integral lattices and finite linear groups, Zap. Nauchn. Sem. LOMI, 116, "Nauka", Leningrad. Otdel., Leningrad, 1982, 119–141; J. Soviet Math., 26:3 (1984), 1908–1921
Citation in format AMSBIB
\Bibitem{Pro82}
\by N.~V.~Proskurin
\paper Expansion of automorphic functions
\inbook Integral lattices and finite linear groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 116
\pages 119--141
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=687847}
\zmath{https://zbmath.org/?q=an:0538.10022|0514.10018}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 26
\issue 3
\pages 1908--1921
\crossref{https://doi.org/10.1007/BF01670579}
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  • https://www.mathnet.ru/eng/znsl/v116/p119
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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