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A Discrete Hilbert Transform with Circle Packings

Authors: Volland, Dominic

  • Proves a Conjecture on Circle Packing Manifolds

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eBook $59.99
price for USA (gross)
  • ISBN 978-3-658-20457-0
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  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-658-20456-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

Dominik Volland currently attends his postgraduate studies in the master’s program on computational science and engineering at the Technical University of Munich (TUM). 

Table of contents (6 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-658-20457-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-658-20456-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Discrete Hilbert Transform with Circle Packings
Authors
Series Title
BestMasters
Copyright
2017
Publisher
Springer Spektrum
Copyright Holder
Springer Fachmedien Wiesbaden GmbH
eBook ISBN
978-3-658-20457-0
DOI
10.1007/978-3-658-20457-0
Softcover ISBN
978-3-658-20456-3
Edition Number
1
Number of Pages
XI, 102
Number of Illustrations and Tables
17 b/w illustrations, 10 illustrations in colour
Topics