49 citations · 122 across the 25 of their papers we have counts for
10 papers · 1 filter
Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related re…
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels
Fabrizio Colombo, Antonino De Martino, Tao Qian +1
The Fueter-Sce-Qian (FSQ for short) mapping theorem is a two-steps procedure to extend holomorphic functions of one complex variable to slice monogenic functions and to monogenic f…
The -resolvent equation and Riesz projectors for the -functional calculus
Fabrizio Colombo, Antonino De Martino, Irene Sabadini
The Fueter-Sce-Qian mapping theorem is a two steps procedure to extend holomorphic functions of one complex variable to quaternionic or Clifford algebra-valued functions in the ker…
Wiener algebra for the quaternions
Daniel Alpay, Fabrizio Colombo, David P. Kimsey +1
We define and study the counterpart of the Wiener algebra in the quaternionic setting, both for the discrete and continuous case. We prove a Wiener-Lévy type theorem and a factoriz…
Generalized quaternionic Schur functions in the ball and half-space and Krein-Langer factorization
Daniel Alpay, Fabrizio Colombo, Irene Sabadini
In this paper we prove a new version of Krein-Langer factorization theorem in the slice hyperholomorphic setting which is more general than the one proved in [D. Alpay, F. Colombo,…
The C-property for slice regular functions and applications to the Bergman space
Fabrizio Colombo, J. Oscar Gonzales-Cervantes
This paper has a twofold purpose: on one hand we deepen the study of slice regular functions by studying their behavior with respect to the so-called C-property and anti-C-property…