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Dominik Volland 
A Discrete Hilbert Transform with Circle Packings 

Soporte

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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Tabla de materias

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.

Sobre el autor

Dominik Volland currently attends his postgraduate studies in the master’s program on computational science and engineering at the Technical University of Munich (TUM). 
Idioma Inglés ● Formato PDF ● Páginas 102 ● ISBN 9783658204570 ● Tamaño de archivo 2.7 MB ● Editorial Springer Fachmedien Wiesbaden ● Ciudad Wiesbaden ● País DE ● Publicado 2017 ● Descargable 24 meses ● Divisa EUR ● ID 5547718 ● Protección de copia DRM social

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