A Discrete Hilbert Transform with Circle Packings

A Discrete Hilbert Transform with Circle Packings
Author :
Publisher : Springer
Total Pages : 110
Release :
ISBN-10 : 9783658204570
ISBN-13 : 3658204575
Rating : 4/5 (575 Downloads)

Book Synopsis A Discrete Hilbert Transform with Circle Packings by : Dominik Volland

Download or read book A Discrete Hilbert Transform with Circle Packings written by Dominik Volland and published by Springer. This book was released on 2017-12-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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