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20062023
most citedGeneralized Metaplectic Operators and the Schrödinger Equation with a Potential in the Sjöstrand Class

59 citations · 398 across the 59 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.FA2019

Signal Analysis using Born-Jordan-type Distribution

Elena Cordero, Maurice de Gosson, Monika Dörfler +1

In this note we exhibit recent advances in signal analysis via time-frequency distributions. New members of the Cohen class, generalizing the Wigner distribution, reveal to be effe…

math.CA2019★ 9 cited

A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform

Fabio Nicola, S. Ivan Trapasso

In this note we provide a negative answer to a question raised by M. Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In part…

math.FA2019

Estimates for matrix coefficients of representations

Tommaso Bruno, Michael G. Cowling, Fabio Nicola +1

Estimates for matrix coefficients of unitary representations of semisimple Lie groups have been studied for a long time, starting with the seminal work by Bargmann, by Ehrenpreis a…

math-ph2019★ 16 cited

On the pointwise convergence of the integral kernels in the Feynman-Trotter formula

Fabio Nicola, S. Ivan Trapasso

We study path integrals in the Trotter-type form for the Schrödinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potenti…

math.FA2019

Decay and Smoothness for Eigenfunctions of Localization Operators

Federico Bastianoni, Elena Cordero, Fabio Nicola

We study decay and smoothness properties for eigenfunctions of compact localization operators. Operators with symbols a in the wide modulation space M^{p,\infty} (containing the Le…