6 citations · 15 across the 25 of their papers we have counts for
9 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…
New Fueter Variables Associated to the Global Operator in the Quaternionic Case
Daniel Alpay, Kamal Diki, Mihaela Vajiac
The purpose of this paper is to develop a new theory of three non-commuting quaternionic variables and its related Schur analysis theory for a modified version of the quaternionic…
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…
Two Bicomplex and One Multicomplex Least Mean Square algorithms
Daniel Alpay, Kamal Diki, Mihaela Vajiac
We study and introduce new gradient operators in the complex and bicomplex settings, inspired from the well-known Least Mean Square (LMS) algorithm invented in 1960 by Widrow and H…
On the Mittag Leffler Bargmann (MLB) transform
Natanael Alpay, Kamal Diki
We introduce the Segal-Bargmann transform associated to the Mittag Leffler Fock space and study how it will be connected to the Fourier transform. We will discuss also the counterp…