Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups

Description: 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. Forgotten Books publishes hundreds of thousands of rare and classic books.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some aesthetic errors may persist, however it has been deemed that any such will not detract from the work's significant historical value. The digital edition of all books may be viewed on our website before purchase.

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End Time: 2024-11-28T09:52:15.000Z

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