Representation of automorphic forms as lacunary series and Blaschke products

In this paper we consider Fuchsian groups of convergent type. We construct automorphic forms of various weights as lacunary series with respect to a set of transformations of a group that does not have the structure of a subgroup. We also construct an automorphic form of zero weight that is the Blas...

Full description

Saved in:
Bibliographic Details
Published in:Russian mathematics 2009-11, Vol.53 (11), p.58-62
Main Author: Garif’yanov, F. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we consider Fuchsian groups of convergent type. We construct automorphic forms of various weights as lacunary series with respect to a set of transformations of a group that does not have the structure of a subgroup. We also construct an automorphic form of zero weight that is the Blaschke product.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X09110085