Translation - invariant Positive-definite Generalized Kernels of Infinite Number of Variables

Abstract

In the theory of spectral analysis of positive-definite j<.ernels, there exist well-developed methods based on the ideas of Krein connected with the construction of a Hilbert space by means of a kernel [ 1, 11]. In the main, our formulation deals with translation-invariant positive-definite generalized kernels.