Riesz Transform

112 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

In the mathematical theory of harmonic analysis, the Riesz transforms are a family of generalizations of the Hilbert transform to Euclidean spaces of dimension d > 1. They are a type of singular integral operator, meaning that they are given by a convolution of one function with another function having a singularity at the origin. The Riesz transforms arises in the study of differentiability properties of harmonic potentials in potential theory and harmonic analysis. In particular, they arise in the proof of the Calderón-Zygmund inequality (Gilbarg & Trudinger 1983, §9.4).

• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9786132965004
• Sprache: Englisch
• Erscheinungsdatum: 10.09.2010
• Größe: 220 x 150 mm
• Verlag: Betascript Publishing
• Herausgegeben von: Mariam T. Tennoe, Lambert M. Surhone, Susan F. Henssonow