A Discrete Hilbert Transform with Circle Packings
(Sprache: Englisch)
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...
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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.Inhaltsverzeichnis zu „A Discrete Hilbert Transform with Circle Packings “
Hardy Spaces and Riemann-Hilbert Problems.- The Hilbert Transform in the Classical Setting.- Circle Packings.- Discrete Boundary Value Problems.- Discrete Hilbert Transform.- Numerical Results of Test Computations.- Properties of the Discrete Transform.Autoren-Porträt von Dominik Volland
Dominik Volland currently attends his postgraduate studies in the master's program on computational science and engineering at the Technical University of Munich (TUM).
Bibliographische Angaben
- Autor: Dominik Volland
- 2017, 1st ed. 2017, XI, 102 Seiten, 10 farbige Abbildungen, Masse: 15,1 x 21,6 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3658204567
- ISBN-13: 9783658204563
- Erscheinungsdatum: 12.01.2018
Sprache:
Englisch
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