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A Discrete Hilbert Transform with Circle Packings

A Discrete Hilbert Transform with Circle Packings

Dominik Volland

68,06 €
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Editorial:
Springer Nature B.V.
Año de edición:
2017
Materia
Cálculo y análisis matemático
ISBN:
9783658204563
68,06 €
IVA incluido
Disponible

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Sobre IBD

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.

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