In this paper we bring together some of the key ideas and methods of two disparate fields of
mathematical research, frame theory, and optimal transport, using the methods of the …

We establish a duality for two factorization questions, one for general positive definite (pd)
kernels $ K $, and the other for Gaussian processes, say $ V $. The latter notion, for …

The Paley-Wiener Theorem is a classical result about the stability of basis in Banach spaces
claiming that if a sequence is close to a basis, then this sequence is a basis. Similar results …

As the generalization of frames in the Euclidean space R n, a probabilistic frame is a
probability measure on R n that has a finite second moment and whose support spans R n …

A probabilistic frame is a Borel probability measure with finite second moment whose
support spans. A Parseval probabilistic frame is one for which the associated matrix of …

We show that an idea, originating initially with a fundamental recursive iteration scheme
(usually referred as “the” Kaczmarz algorithm), admits important applications in such infinite …

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 …

In this paper we bring together some of the key ideas and methods of two disparate fields of
mathematical research, frame theory and optimal transport, using the methods of the second …

With view to applications in stochastic analysis and geometry, we introduce a new
correspondence for positive definite kernels (pd) $ K $ and their associated reproducing …