A Discrete Hilbert Transform with Circle Packings / BestMasters (PDF)
(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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Produktinformationen zu „A Discrete Hilbert Transform with Circle Packings / BestMasters (PDF)“
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. Basic knowledge of complex analysis and functional analysis is recommended.
Contents
The Author
- 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
- Propertiesof the Discrete Transform
Target Groups
Lecturers and students of mathematics who are interested in circle packings and/or discrete Riemann-Hilbert problems
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).
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, 102 Seiten, Englisch
- Verlag: Gabler, Betriebswirt.-Vlg
- ISBN-10: 3658204575
- ISBN-13: 9783658204570
- Erscheinungsdatum: 01.12.2017
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 2.61 MB
- Ohne Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
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