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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 201, Pages 177–189 (Mi znsl5111)  
One a type of automorphic forms

N. A. Shirokov
Full-text PDF (502 kB)
Abstract: The aim of the paper is to construct а $\Gamma$-automorphic form of weight $-2k$ for a given finitely generated Fuchsian group $\Gamma$ of the second kind. The construction heavily relies on important properties of the outer function introduced by Widom that have been established by the author. The $\Gamma$-automorphic form construced possesses the highest possible smoothness for the weight $-2k$.
English version:
Journal of Mathematical Sciences, 1996, Volume 78, Issue 2, Pages 232–240
DOI: https://doi.org/10.1007/BF02366038
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. A. Shirokov, “One a type of automorphic forms”, Investigations on linear operators and function theory. Part 20, Zap. Nauchn. Sem. POMI, 201, Nauka, St. Petersburg, 1992, 177–189; J. Math. Sci., 78:2 (1996), 232–240
Citation in format AMSBIB
\Bibitem{Shi92}
\by N.~A.~Shirokov
\paper One a type of automorphic forms
\inbook Investigations on linear operators and function theory. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 201
\pages 177--189
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5111}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1172765}
\zmath{https://zbmath.org/?q=an:0839.30046|0803.30033}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 78
\issue 2
\pages 232--240
\crossref{https://doi.org/10.1007/BF02366038}
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