{"product_id":"a-discrete-hilbert-transform-with-circle-packings-9783658204563","title":"A Discrete Hilbert Transform with Circle Packings","description":"\u003cp\u003e • Author(s): Dominik Volland\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer Spektrum\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eDominik 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. Basic knowledge of complex analysis and functional analysis is recommended.\u003cbr\u003e\u003cb\u003eContents\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eHardy Spaces and Riemann-Hilbert Problems\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eThe Hilbert Transform in the Classical Setting\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eCircle Packings\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eDiscrete Boundary Value Problems\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eDiscrete Hilbert Transform\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eNumerical Results of Test Computations\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eProperties of the Discrete Transform\u003c\/li\u003e\n\u003c\/ul\u003e\u003cb\u003eTarget Groups\u003c\/b\u003e\u003cbr\u003eLecturers and students of mathematics who are interested in circle packings and\/or discrete Riemann-Hilbert problems\u003cb\u003e\u003cbr\u003eThe Author\u003c\/b\u003e\u003cb\u003eDominik Volland\u003c\/b\u003e currently attends his postgraduate studies in the master's program on computational science and engineering at the Technical University of Munich (TUM). \u003cbr\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277557620887,"sku":"9783658204563","price":3633.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783658204563.webp?v=1769288698","url":"https:\/\/atlanticbooks.com\/products\/a-discrete-hilbert-transform-with-circle-packings-9783658204563","provider":"Atlantic Books","version":"1.0","type":"link"}