71 citations · 364 across the 83 of their papers we have counts for
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math.FA2020
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
Daniel Alpay, Palle Jorgensen
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present ageneral positive definite…
math.CO2020
Harmonic analysis invariants for infinite graphs via operators and algorithms
Sergey Bezuglyi, Palle E. T. Jorgensen
We present recent advances in harmonic analysis on infinite graphs. Our approach combines combinatorial tools with new results from the theory of unbounded Hermitian operators in H…
math.DS2020
Harmonic analysis on graphs via Bratteli diagrams and path-space measures
Sergey Bezuglyi, Palle E. T. Jorgensen
The past decade has seen a flourishing of advances in harmonic analysis of graphs. They lie at the crossroads of graph theory and such analytical tools as graph Laplacians, Markov…