108 citations · 443 across the 80 of their papers we have counts for
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Octonionic monogenic and slice monogenic Hardy and Bergman spaces
Fabrizio Colombo, Rolf Soeren Krausshar, Irene Sabadini
In this paper we discuss some basic properties of octonionic Bergman and Hardy spaces. In the first part we review some fundamental concepts of the general theory of octonionic Har…
Slice monogenic theta series
Fabizio Colombo, Rolf Soeren Krausshar, Irene Sabadini
In this paper we introduce a generalization of theta series in the context of the slice monogenic function theory in where me make use of the so-called -expon…
Entire monogenic functions of given proximate order and continuous homomorphisms
F. Colombo, R. S. Krausshar, S. Pinton +1
Infinite order differential operators appear in different fields of mathematics and physics. In the past decade they turned out to play a crucial role in the theory of superoscilla…
Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
Paula Cerejeiras, Fabrizio Colombo, Alberto Debernardi Pinos +2
We introduce an appropriate notion of trace in the setting of quaternionic linear operators, arising from the well-known companion matrices. We then use this notion to define the q…
Superoscillations and Fock spaces
Daniel Alpay, Fabrizio Colombo, Kamal Diki +2
In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences…
Harmonic and polyanalytic functional calculi on the -spectrum for unbounded operators
Fabrizio Colombo, Antonino De Martino, Stefano Pinton
Harmonic and polyanalytic functional calculi have been recently defined for bounded commuting operators. Their definitions are based on the Cauchy formula of slice hyperholomorphic…