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

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Excerpt from Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups

This report represents results obtained at the Courant Institute of Na tical Sciences, New York University, with the United States Army Research Office, Contract No. Da-aro-(d)-31-12u-gis6. Reproduction in whole or in part is permitted for any purpose of the United States Government.gl. Statement of results.

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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.

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Présentation de l'éditeur

Leopold Classic Library is delighted to publish this classic book as part of our extensive collection. As part of our on-going commitment to delivering value to the reader, we have also provided you with a link to a website, where you may download a digital version of this work for free. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. Whilst the books in this collection have not been hand curated, an aim of our publishing program is to facilitate rapid access to this vast reservoir of literature. As a result of this book being first published many decades ago, it may have occasional imperfections. These imperfections may include poor picture quality, blurred or missing text. While some of these imperfections may have appeared in the original work, others may have resulted from the scanning process that has been applied. However, our view is that this is a significant literary work, which deserves to be brought back into print after many decades. While some publishers have applied optical character recognition (OCR), this approach has its own drawbacks, which include formatting errors, misspelt words, or the presence of inappropriate characters. Our philosophy has been guided by a desire to provide the reader with an experience that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic book, and that the occasional imperfection that it might contain will not detract from the experience.

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

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ISBN 10 :  0265338190 ISBN 13 :  9780265338193
Editeur : Forgotten Books, 2018
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ISBN 10 : 133401647X ISBN 13 : 9781334016479
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Paperback. Etat : New. Print on Demand. This book covers automorphic forms, holomorphic solutions to the functional equation, and Poincarà 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 Poincarà series and proves that every form of a specific type can be written as a linear combination of Poincarà 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, Poincarà series, and Fuchsian groups. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781334016479_0

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