Berg Ch., Christensen J.P.R., Ressel P. Harmonic analysis on semigroups. Theory of Positive Definite and Related Functions

Springer, 1984. — 289 p.Introduction to Locally Convex Topological Vector Spaces and Dual Pairs.
Radom Measures and Integral Representations.
General Results on Positive and Negative Definite Matrices and Kernels.
Main Results on Positive and Negative Definite Functions on Semigroups.
Schoenberg-Type Results for Positive and Negative Definite Functions.
Positive Definite Functions and Moment Functions.
Hoeffding's Inequality and Multivariate Majorization.
Positive and Negative Definite Functions on Abelian Semigroups Without Zero.