Dominik Volland
A Discrete Hilbert Transform with Circle Packings
Paperback Engels 2017 9783658204563Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783658204563
Taal:Engels
Bindwijze:paperback
Uitgever:Springer Fachmedien Wiesbaden
Serie:BestMasters
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Inhoudsopgave
<p>Hardy Spaces and Riemann-Hilbert Problems.- The Hilbert Transform in the Classical Setting.- Circle Packings.- Discrete Boundary Value Problems.- Discrete Hilbert Transform.- Numerical Results of Test Computations.- Properties of the Discrete Transform.</p>
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