Weighted finite Fourier transform operator: Uniform approximations of the eigenfunctions, eigenvalues decay and behaviour

A Karoui, A Souabni - Journal of Scientific Computing, 2017 - Springer
In this paper, we investigate two uniform asymptotic approximations as well as some
spectral properties of the eigenfunctions of the weighted finite Fourier transform operator …

A strong law of large numbers related to multiple testing normal means

X Chen, RW Doerge - Statistics & Probability Letters, 2020 - Elsevier
A strong law of large numbers related to multiple testing normal means - ScienceDirect Skip to
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Fourier-like multipliers and applications for integral operators

S Ghobber - Complex Analysis and Operator Theory, 2019 - Springer
Timelimited functions and bandlimited functions play a fundamental role in signal and image
processing. But by the uncertainty principles, a signal cannot be simultaneously time and …

Weighted finite Laplace transform operator: spectral analysis and quality of approximation by its eigenfunctions

NEH Bourguiba, A Karoui - Integral Transforms and Special …, 2018 - Taylor & Francis
For two real numbers c> 0, α>− 1, we study some spectral properties of the weighted finite
bilateral Laplace transform operator, defined over the space E= L 2 (I, ω α), I=[− 1, 1], ω α …