108 citations · 529 across the 96 of their papers we have counts for
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Segal-Bargmann transform for generalized partial-slice monogenic functions
Zhenghua Xu, Irene Sabadini
The concept of generalized partial-slice monogenic functions has been recently introduced to include the two theories of monogenic functions and of slice monogenic functions over C…
An introduction to the fine structures on the -spectrum
Fabrizio Colombo, Antonino De Martino, Stefano Pinton +2
Holomorphic functions are fundamental in operator theory and their Cauchy formula is a crucial tool for defining functions of operators. The Fueter-Sce extension theorem (often cal…
Bergman kernels for monogenic and contragenic functions in the interior and exterior of a sphere
R. García-Ancona, J. Morais, R. Michael Porter
Contragenic functions are defined to be reduced-quaternion-valued harmonic functions which are orthogonal to all monogenic and antimonogenic functions in the norm of a given…
Domains of existence of slice regular functions in one quaternionic variable
Xinyuan Dou, Ming Jin, Guangbin Ren +1
Recently, we introduced domains of slice regularity in the space of quaternions and also proved that domains of slice regularity satisfy a symmetry with respect to pat…
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…