Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups (Classic Reprint) - Softcover

Lipman Bers

 
9781334016479: Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups (Classic Reprint)

Synopsis

This book covers automorphic forms, holomorphic solutions to the functional equation, and Poincaré series for infinitely generated Fuchsian groups. The author, a mathematician, provides a detailed look at continuous linear functional spaces associated with these forms and series and establishes a set of equivalences between them via important duality theorems. The book explores how every continuous linear functional over a space of integrable automorphic forms can be represented by an element in the dual space using an anti-isomorphism. It also examines the convergence of Poincaré series and proves that every form of a specific type can be written as a linear combination of Poincaré series over a space of bounded automorphic forms. The book's ideas and insights contribute to a deeper understanding of the interplay between automorphic forms, Poincaré series, and Fuchsian groups.

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Other Popular Editions of the Same Title

9780265338193: Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups (Classic Reprint)

Featured Edition

ISBN 10:  0265338190 ISBN 13:  9780265338193
Publisher: Forgotten Books, 2018
Hardcover