108 citations · 529 across the 96 of their papers we have counts for
8 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…
Universality property of the -functional calculus, noncommuting matrix variables and Clifford operators
Fabrizio Colombo, Jonathan Gantner, David P. Kimsey +1
The spectral theory on the -spectrum was born out of the need to give quaternionic quantum mechanics (formulated by Birkhoff and von Neumann) a precise mathematical foundation.…
A new approach to slice analysis via slice topology
X. Dou, M. Jin, G. Ren +1
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show…
Beurling-Lax type theorems and Cuntz relations
D. Alpay, F. Colombo, I. Sabadini +1
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also stu…