POSITIVE DEFINITE FUNCTIONS ON PRODUCTS OF METRIC SPACES VIA GENERALIZED STIELTJES FUNCTIONS

摘要

For quasi-metric spaces (X, rho) and (Y, sigma) and a positive real number lambda, we propose a model for generating positive definite functions G(r) : {rho(x, x') : x, x' is an element of X} x {sigma(y, y') : y, y' is an element of Y} bar right arrow R having the form