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This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
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- ÉditeurForgotten Books
- Date d'édition2018
- ISBN 10 1332782256
- ISBN 13 9781332782253
- ReliureBroché
- Langueanglais
- Nombre de pages46
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EUR 14,26
Gratuit expédition depuis Royaume-Uni vers Etats-Unis
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Completeness Theorems for Poincarà Series in One Variable (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book examines studies of Poincare series, especially the investigations by H. Petersson on finitely generated Fuchsian groups. The author derives and presents relevant completeness theorems that demonstrate the spaces of theta-series of some specified kind coincide with or are dense in some space of automorphic forms. The research within this book is elementary and uses the simplest concepts from linear space theory, Petersson's scalar product, and basic potential-theoretical estimates. Also discussed are scalar products that define a canonical identification of a space with its dual and the reduction of the problem of representing or approximating a function by expressions of the form GF. The author proves a partial converse of these statements and considers discrete groups of conformal self-mappings of simply connected domains. An extension to discrete groups of conformal self-mappings of an arbitrary simply connected domain is included, along with its usefulness in describing functions for which a norm is finite. A more precise statement is offered under restrictive assumptions on the domain and group. Furthermore, the author includes a discussion of Poincare series for finitely generated Fuchsian groups with limit circles. These investigations concern cusp forms, which are functions with certain properties at cusps. The author proves a lemma corresponding to one of Petersson's 'fundamental identities' and derives a consequence in the form of a theorem. This book provides completeness theorems for Poincare series, extending and simplifying Petersson's results with potential applications in the theory of moduli. 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 9781332782253_0
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Completeness Theorems for Poincar? Series in One Variable (Classic Reprint)
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332782253
Quantité disponible : 15 disponible(s)
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Completeness Theorems for Poincar Series in One Variable Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332782253
Quantité disponible : 15 disponible(s)