108 citations · 529 across the 96 of their papers we have counts for
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Analyticity and supershift with irregular sampling
F. Colombo, I. Sabadini, D. C. Struppa +1
The notion of supershift generalizes that one of superoscillation and expresses the fact that the sampling of a function in an interval allows to compute the values of the function…
On the Fueter-Sce theorem for generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
In a recent paper, we introduced the concept of generalized partial-slice monogenic functions. The class of these functions includes both the theory of monogenic functions and of s…
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…
Analyticity and supershift with regular sampling
F. Colombo, I. Sabadini, D. C. Struppa +1
The notion of supershift (in itself a generalization of the notion of superoscillation arising in quantum mechanics) expresses the fact that the sampling of a function in an interv…