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Excerpt from Completeness Theorems for Poincaré Series in One Variable
The author is a John Simon Guggenheim Memorial Fellow and holds a Fulbright award.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Excerpt from Completeness Theorems for Poincaré Series in One Variable
The author is a John Simon Guggenheim Memorial Fellow and holds a Fulbright award.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Excerpt from Completeness Theorems for Poincaré Series in One Variable
Cf., for instance, Math. 2; vol. 52 (l9u9). Pp. 32-59, and the the references given there.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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- VerlagForgotten Books
- Erscheinungsdatum2018
- ISBN 10 1332782256
- ISBN 13 9781332782253
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten46
- Kontakt zum HerstellerNicht verfügbar
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Completeness Theorems for Poincar? Series in One Variable (Classic Reprint)
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Completeness Theorems for Poincar? Series in One Variable (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332782253
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Completeness Theorems for Poincarà Series in One Variable (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332782253_0
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