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math.CV2024
Analyticity, superoscillations and supershifts in several variables
F. Colombo, I. Sabadini, D. C. Struppa +1
Superoscillations have roots in various scientific disciplines, including optics, signal processing, radar theory, and quantum mechanics. This intriguing mathematical phenomenon pe…
math.CV2023
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…
math.CV2016
Ideals of regular functions of a quaternionic variable
Graziano Gentili, Giulia Sarfatti, Daniele C. Struppa
In this paper we prove that, for any , the ideal generated by slice regular functions having no common zeros concides with the entire ring of s…