8 citations · 38 across the 47 of their papers we have counts for
5 papers · 2 filters
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…
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…
Generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
The two function theories of monogenic and of slice monogenic functions have been extensively studied in the literature and were developed independently; the relations between them…