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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…
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…
A Cauchy kernel for the Hermitian submonogenic system
Fabrizio Colombo, Dixan Peña Peña, Frank Sommen
Hermitian monogenic functions are the null solutions of two complex Dirac type operators. The system of these complex Dirac operators is overdetermined and may be reduced to constr…