Zobrazeno 1 - 10
of 411
pro vyhledávání: '"Sabadini, I."'
Superoscillations have roots in various scientific disciplines, including optics, signal processing, radar theory, and quantum mechanics. This intriguing mathematical phenomenon permits specific functions to oscillate at a rate surpassing their highe
Externí odkaz:
http://arxiv.org/abs/2403.06169
The notion of supershift generalizes that one of superoscillation and expresses the fact that the sampling of a function in an interval allows to compute the values of the function outside the interval. In a previous paper we discussed the case in wh
Externí odkaz:
http://arxiv.org/abs/2312.05089
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 superoscillations and provided new insight in the study of the evolution as initia
Externí odkaz:
http://arxiv.org/abs/2311.02381
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 interval allows to compute the values of the function far from the interval.
Externí odkaz:
http://arxiv.org/abs/2310.11528
Publikováno v:
Adv. Appl. Clifford Algebr. 31 (2021), no. 5, Paper No. 67
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show, following [18], how this setting allows us to generalize slice analy
Externí odkaz:
http://arxiv.org/abs/2110.03752
Publikováno v:
Linear Algebra Appl. 633 (2022) 152-212
We prove various Beurling-Lax type theorems, when the classical backward-shift operator is replaced by a general resolvent operator associated with a rational function. We also study connections to the Cuntz relations. An important tool is a new repr
Externí odkaz:
http://arxiv.org/abs/2108.03630
Publikováno v:
In Advances in Mathematics April 2024 442
Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These functions (or sequences) appear in weak values in quantum mechanics and in many fields of science and technology such as optics, signal
Externí odkaz:
http://arxiv.org/abs/2101.06416
We consider the evolution, for a time-dependent Schr\"odinger equation, of the so called Dirac comb. We show how this evolution allows us to recover explicitly (indeed optically) the values of the quadratic generalized Gauss sums. Moreover we use the
Externí odkaz:
http://arxiv.org/abs/2008.12929
Publikováno v:
In Discrete Applied Mathematics 15 December 2023 340:215-227