Harmonic analysis of network systems via kernels and their boundary realizations
Harmonic analysis of network systems via kernels and their boundary realizations
With view to applications to harmonic and stochastic analysis of infinite network/graph models, we introduce new tools for realizations and transforms of positive definite kernels (p.d.) $ K $ and their associated reproducing kernel Hilbert spaces. With this we establish two kinds of factorizations: (i) Probabilistic: Starting with a positive …