A Discrete Hilbert Transform with Circle Packings

Author:   Dominik Volland
Publisher:   Springer Fachmedien Wiesbaden
Edition:   1st ed. 2017
ISBN:  

9783658204563


Pages:   102
Publication Date:   13 December 2017
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Discrete Hilbert Transform with Circle Packings


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Overview

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.

Full Product Details

Author:   Dominik Volland
Publisher:   Springer Fachmedien Wiesbaden
Imprint:   Springer Spektrum
Edition:   1st ed. 2017
Weight:   1.607kg
ISBN:  

9783658204563


ISBN 10:   3658204567
Pages:   102
Publication Date:   13 December 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Dominik Volland currently attends his postgraduate studies in the master’s program on computational science and engineering at the Technical University of Munich (TUM). 

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