| A Discrete Hilbert Transform with Circle Packings 2017 Edition Contributor(s): Volland, Dominik (Author) |
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ISBN: 3658204567 ISBN-13: 9783658204563 Publisher: Springer Spektrum OUR PRICE: $52.24 Product Type: Paperback Published: December 2017 |
| 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 |
| Descriptions, Reviews, Etc. |
| 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. |