A Discrete Hilbert Transform with Circle Packings

von Dominik Volland

102 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: BestMasters
• ISBN: 9783658204563
• Sprache: Englisch
• Erscheinungsdatum: 13.12.2017
• Genre: Mathematik/Analysis
• Verlag: Springer Fachmedien Wiesbaden GmbH