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math-ph2022★ 4 cited
An approach to the Gaussian RBF kernels via Fock spaces
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
We use methods from the Fock space and Segal-Bargmann theories to prove several results on the Gaussian RBF kernel in complex analysis. The latter is one of the most used kernels i…
math-ph2018
Distribution spaces and a new construction of stochastic processes associated with the Grassmann algebra
Daniel Alpay, Ismael L. Paiva, Daniele C. Struppa
We associate with the Grassmann algebra a topological algebra of distributions, which allows the study of processes analogous to the corresponding free stochastic processes with st…