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A Discrete Hilbert Transform with Circle Packings 2017 Edition
Contributor(s): Volland, Dominik (Author)
ISBN: 3658204567     ISBN-13: 9783658204563
Publisher: Springer Spektrum
OUR PRICE:   $52.24  
Product Type: Paperback
Published: December 2017
Qty:
Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
- Mathematics | Geometry - General
- Mathematics | Counting & Numeration
Dewey: 515
Series: Bestmasters
Physical Information: 0.24" H x 5.83" W x 8.27" (0.33 lbs) 102 pages
 
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Publisher Description:

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.