108 citations · 529 across the 96 of their papers we have counts for
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On the Bargmann-Radon transform in the monogenic setting
Fabrizio Colombo, Irene Sabadini, Franciscus Sommen
In this paper we introduce and study a Bargmann-Radon transform on the real monogenic Bargmann module. This transform is defined as the projection of the real Bargmann module on th…
Fueter's theorem for monogenic functions in biaxial symmetric domains
Dixan Peña Peña, Irene Sabadini, Franciscus Sommen
In this paper we generalize the result on Fueter's theorem from [10] by Eelbode et al. to the case of monogenic functions in biaxially symmetric domains. To obtain this result, Eel…
On two-sided monogenic functions of axial type
Dixan Peña Peña, Irene Sabadini, Frank Sommen
In this paper we study two-sided (left and right) axially symmetric solutions of a generalized Cauchy-Riemann operator. We present three methods to obtain special solutions: via th…
Segal-Bargmann-Fock modules of monogenic functions
Dixan Peña Peña, Irene Sabadini, Franciscus Sommen
In this paper we introduce the classical Segal-Bargmann transform starting from the basis of Hermite polynomials and extend it to Clifford algebra-valued functions. Then we apply t…
Adaptative decomposition: the case of the Drury-Arveson space
Daniel Alpay, Fabrizio Colombo, Tao Qian +1
The maximum selection principle allows to give expansions, in an adaptive way, of functions in the Hardy space of the disk in terms of Blaschke products. The expansio…
Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball
Irene Sabadini, Alberto Saracco
We study a characterization of slice Carleson measures and of Carleson measures for the both the Hardy spaces and the Bergman spaces of t…