Бібліографічні деталі
| Назва: |
Multidimensional quadratic-phase Fourier transform and its uncertainty principles. |
| Автори: |
PINHEIRO CASTRO, LUÍS1 castro@ua.pt, CORREIA GUERRA, RITA1 ritaguerra@ua.pt |
| Джерело: |
Constructive Mathematical Analysis. Mar2025, Vol. 8 Issue 1, p15-34. 20p. |
| Предметні терміни: |
*HEISENBERG uncertainty principle, *FOURIER transforms, *DEFINITIONS |
| Короткий огляд: |
The main aim of this article is to propose a multidimensional quadratic-phase Fourier transform (MQFT) that generalises the well-known and recently introduced quadratic-phase Fourier transform (as well as, of course, the Fourier transform itself) to higher dimensions. In addition to the definition itself, some crucial properties of this new integral transform will be deduced. These include a Riemann-Lebesgue lemma for the MQFT, a Plancherel lemma for the MQFT and a Hausdorff-Young inequality for the MQFT. A second central objective consists of obtaining different uncertainty principles for this MQFT. To this end, using techniques that include obtaining various auxiliary inequalities, the study culminates in the deduction of Lp-type Heisenberg-Pauli-Weyl uncertainty principles and Lp-type Donoho-Stark uncertainty principles for the MQFT. [ABSTRACT FROM AUTHOR] |
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| База даних: |
Academic Search Premier |