A Discrete Hilbert Transform with Circle Packings

• Κύριος συγγραφέας: Volland, Dominik (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum, 2017.
• Σειρά: BestMasters
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Computer mathematics.; Geometry.; Analysis.; Computational Mathematics and Numerical Analysis.

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...

Πίνακας περιεχομένων:

• 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.