A Discrete Hilbert Transform with Circle Packings
Dominik Volland studies the construction of a discrete counterpart to the Hilbert transform in the realm of a nonlinear discrete complex analysis given by circle packings. The Hilbert transform is closely related to Riemann-Hilbert problems which have bee
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A Discrete Hilbert Transform with Circle Packings
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Dominik Volland
A Discrete Hilbert Transform with Circle Packings
Dominik Volland Garching near Munich, Germany
BestMasters ISBN 978-3-658-20456-3 ISBN 978-3-658-20457-0 (eBook) https://doi.org/10.1007/978-3-658-20457-0 Library of Congress Control Number: 2017961504 Springer Spektrum © Springer Fachmedien Wiesbaden GmbH 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer Spektrum imprint is published by Springer Nature The registered company is Springer Fachmedien Wiesbaden GmbH The registered company address is: Abraham-Lincoln-Str. 46, 65189 Wiesbaden, Germany
Acknowledgments This book originated from a research project of Elias Wegert and Folkmar Bornemann together with the author in the TUM elite graduate program TopMath. The work was supported by the DFG-Collaborative Research Center, TRR 109, “Discretization in Geometry and Dynamics”. I would like to thank both TopMath and DFG for their financial and ideological support throughout the project. I also wish to express my deep gratitude to my supervisors, Elias Wegert and Folkmar Bornemann, for productive personal communication, for their valuable support, and also for suggesting me for “Best Masters”. Finally, I’d like to thank my family, my fri
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