Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions

by C. Berg and Christian Berg

Book Overview

The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution...

• Format: Paperback
• Language: English
• ISBN: 1461270170
• ISBN13: 9781461270171
• Release Date: October 2012
• Publisher: Springer
• Length: 292 Pages
• Weight: 0.96 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"