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Volland, Dominik

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.

Details

Published by: Springer Spektrum

Publication Date: 2017-12-13

Format: Paperback

ISBN-13: 9783658204563

DOI: 10.1007/978-3-658-20457-0

Dimensions: 210cm x148cm

Pages: 102