49 citations · 118 across the 27 of their papers we have counts for
27 papers
Aharonov-Bohm effect and superoscillations
Fabrizio Colombo, Elodie Pozzi, Irene Sabadini +1
The path-integral technique in quantum mechanics provides an intuitive framework for comprehending particle propagation and scattering. Calculating the propagator for the Aharonov-…
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…
A Borel-Pompeiu formula in a -model of quaternionic analysis
José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini
The study of hyperholomorphic functions defined on domains in with values in , namely null-solutions of the Fueter operator, is a topic which captu…
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…