10 citations · 37 across the 44 of their papers we have counts for
6 papers · 1 filter
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…
A Hörmander-Fock space
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In a recent paper we used a basic decomposition property of polyanalytic functions of order in one complex variable to characterize solutions of the classical $\overline{\parti…
Hörmander's -method, -problem and polyanalytic function theory in one complex variable
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In this paper we consider the classical -problem in the case of one complex variable both for analytic and polyanalytic data. We apply the decomposition property of…
Finitely additive functions in measure theory and applications
Daniel Alpay, Palle Jorgensen
We consider, and make precise, a certain extension of the Radon-Nikodym derivative operator, to functions which are additive, but not necessarily sigma-additive, on a subset of a g…
Discrete analytic functions, structured matrices and a new family of moment problems
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
Using Zeilberger generating function formula for the values of a discrete analytic function in a quadrant we make connections with the theory of structured reproducing kernel space…
A note on the complex and bicomplex valued neural networks
Daniel Alpay, Kamal Diki, Mihaela Vajiac
In this paper we first write a proof of the perceptron convergence algorithm for the complex multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the pe…