A Discrete Hilbert Transform with Circle Packings by Dominik Volland
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.
2017 | ISBN 9783658204563 | ISBN 9783658204570 | ID: SC - 1144
SC - 1144 | A Discrete Hilbert Transform with Circle Packings
- Grupa:
IDENTIFIKACIONI (ID) BROJEVI:
SC:
1-100__101-200__201-300
301-400__401-500__501-600
601-700__701-800__801-900
901-1000__1001-1100__1101-1200
1201-1300__1301-1400__1401-1500
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SC:
1-100__101-200__201-300
301-400__401-500__501-600
601-700__701-800__801-900
901-1000__1001-1100__1101-1200
1201-1300__1301-1400__1401-1500
1501-1600__1601-1700__1701-1800
1801-1900__1901-2000
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