Harmonic Analysis on Spaces of Homogeneous Type

Harmonic Analysis on Spaces of Homogeneous Type by Donggao Deng
English | PDF | 2009 | 160 Pages | ISBN : 354088744X | 3.3 MB
This book could have been entitled "Analysis and Geometry." The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation.