Article
Keywords:
time-frequency concentration; windowed Hankel transform; Shapiro's uncertainty principles
Summary:
The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.
References:
[6] Levitan, B. M.:
Expansion in Fourier series and integrals with Bessel functions. Uspekhi Matem. Nauk (N.S.) 6 (1951), 102-143 Russian.
MR 0049376 |
Zbl 0043.07002
[8] Shapiro, H. S.: Uncertainty principles for basis in $L^2(\mathbb R)$. Proc. of the Conf. on Harmonic Analysis and Number Theory, Marseille-Luminy, 2005 CIRM.