8 citations · 38 across the 47 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…