4 citations · 10 across the 32 of their papers we have counts for
5 papers · 1 filter
An approach to the Gaussian RBF kernels via Fock spaces
Daniel Alpay, Fabrizio Colombo, Kamal Diki +1
We use methods from the Fock space and Segal-Bargmann theories to prove several results on the Gaussian RBF kernel in complex analysis. The latter is one of the most used kernels i…
On the Radon transform and the Dirac delta distribution in superspace
Alí Guzmán Adán, Irene Sabadini, Frank Sommen
In this manuscript, we obtain a plane wave decomposition for the delta distribution in superspace, provided that the superdimension is not odd and negative. This decomposition allo…
A new method to generate superoscillating functions and supershifts
Y. Aharonov, F. Colombo, I. Sabadini +3
Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These functions (or sequences) appear in weak values in quantum mechani…
Gauss sums, superoscillations and the Talbot carpet
F. Colombo, I. Sabadini, D. C. Struppa +1
We consider the evolution, for a time-dependent Schrödinger equation, of the so called Dirac comb. We show how this evolution allows us to recover explicitly (indeed optically) the…
S-Spectrum and the quaternionic Cayley transform of an operator
B. Muraleetharan, I. Sabadini, K. Thirulogasanthar
In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number i…