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Journal of Mathematical Sciences

, Volume 78, Issue 2, pp 232–240 | Cite as

A type of automorphic form

  • N. A. Shirokov
Article

Abstract

The aim of this paper is to construct a Γ-automorphic form of weight −2k for a given finitely generated Fuchsian group Γ of the second kind. The construction heavily relies on important properties of the outer function introduced by Widom, which were established by the author. The constructed Γ-automorphic form possesses the highest possible smoothness for the weight −2k. Bibliography: 8 titles.

Keywords

Automorphic Form Fuchsian Group Carleson Measure Outer Function Parabolic Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • N. A. Shirokov

There are no affiliations available

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