This article is meant as both an introduction and a review of some of the recent
developments on Fock and Bergman spaces of polyanalytic functions. The study of …

The Fueter theorem provides a two step procedure to build an axially monogenic function, ie
a null-solution of the Cauchy-Riemann operator in $\mathbb {R}^ 4$, denoted by $\mathcal …

We consider the quantum dynamics of a charged particle evolving under the action of a
constant homogeneous magnetic field, with emphasis on the discrete subgroups of the …

The Fueter mapping theorem gives a constructive way to extend holomorphic functions of
one complex variable to monogenic functions, that is, null solutions of the generalized …

Warped time-frequency systems have recently been introduced as a class of structured
continuous frames for functions on the real line. Herein, we generalize this framework to the …

“Harmonic and Complex Analysis and its Applications”(HCAA) was a 5-year (2007–2012)
European Science Foundation Programme whose aim was to explore and to strengthen the …

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 results in …

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 polyanalytic …

Since 2006 the theory of slice hyperholomorphic functions and the related spectral theory on
the S-spectrum have had a very fast development. This new spectral theory based on the S …

We construct a polyanalytic extension of analytic (Poisson) wavelet frames, leading to a new
system of wavelet superframes. Superframes have been introduced in signal analysis as a …