Authors:
- Proves a Conjecture on Circle Packing Manifolds
- Includes supplementary material: sn.pub/extras
Part of the book series: BestMasters (BEST)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
About this book
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 been studied in the framework of circle packings by E. Wegert and co-workers since 2009. The author demonstrates that the discrete Hilbert transform is well-defined in this framework by proving a conjecture on discrete problems formulated by Wegert. Moreover, he illustrates its properties by carefully chosen numerical examples.
Authors and Affiliations
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Lehrstuhl M3 für Wissenschaftliches Rec, TU München, Zentrum Mathematik, Garching near Munich, Germany
Dominik Volland
About the author
Dominik Volland currently attends his postgraduate studies in the master’s program on computational science and engineering at the Technical University of Munich (TUM).
Bibliographic Information
Book Title: A Discrete Hilbert Transform with Circle Packings
Authors: Dominik Volland
Series Title: BestMasters
DOI: https://doi.org/10.1007/978-3-658-20457-0
Publisher: Springer Spektrum Wiesbaden
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Fachmedien Wiesbaden GmbH 2017
Softcover ISBN: 978-3-658-20456-3Published: 13 December 2017
eBook ISBN: 978-3-658-20457-0Published: 01 December 2017
Series ISSN: 2625-3577
Series E-ISSN: 2625-3615
Edition Number: 1
Number of Pages: XI, 102
Number of Illustrations: 17 b/w illustrations, 10 illustrations in colour
Topics: Analysis, Geometry, Computational Mathematics and Numerical Analysis