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A Discrete Hilbert Transform with Circle Packings
Description
(BestMasters) 1st ed. 2017 edition
by Dominik Volland (Author)
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
Year:
2017
Pages:
110
Language:
English
Format:
PDF
Size:
3 MB
ISBN-10:
3658204567
ISBN-13:
978-3658204563
ASIN:
B077ZBCCNC
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