Click Here to Download: https://ouo.io/9vkUgT A Discrete Hilbert Transform with Circle Packings By: Dominik Volland Publisher: Springer Spektrum Print ISBN: 9783658204563, 3658204567 eText ISBN: 9783658204570, 3658204575 Copyright year: 2017 Format: PDF Available from $ 74.99 USD SKU 9783658204570 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.
