Abstract
The chapter discusses a (revised and expanded) version of a lecture delivered at the Los Alamos Workshop on Mathematics in June 1974 under the title A Glimpse into Complex Analysis. It discusses automorphic forms for Schottky groups. Schottky groups stand out, among other Kleinian groups, by a particularly simple algebraic and geometric structure. Every finitely generated free Kleinian group all of which nontrivial elements are loxodromic is a Schottky group. One can always construct standard fundamental regions bounded by analytic curves. There are Schottky groups for which no standard fundamental region, no matter what generators one chooses, is bounded by circles as every finitely generated subgroup of a Schottky group is a Schottky group.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Surveys in Applied Mathematics: Essays dedicated to S.M. Ulam
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
