2 citations · 2 across the 5 of their papers we have counts for
12 papers
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We study the Hermite operator in and its fractional powers , in phase space. Namely, we represent functions via the so-called short-time…
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators
Elena Cordero, Fabio Nicola, S. Ivan Trapasso
Sparsity properties for phase-space representations of several types of operators have been extensively studied in recent papers, including pseudodifferential, Fourier integral and…
On exceptional times for pointwise convergence of integral kernels in Feynman-Trotter path integrals
Hans G. Feichtinger, Fabio Nicola, S. Ivan Trapasso
In the first part of the paper we provide a survey of recent results concerning the problem of pointwise convergence of integral kernels in Feynman path integral, obtained by means…
Almost Diagonalization of Pseudodifferential Operators
S. Ivan Trapasso
In this review we focus on the almost diagonalization of pseudodifferential operators and highlight the advantages that time-frequency techniques provide here. In particular, we re…
A time-frequency analysis perspective on Feynman path integrals
S. Ivan Trapasso
The purpose of this expository paper is to highlight the starring role of time-frequency analysis techniques in some recent contributions concerning the mathematical theory of Feyn…
An introduction to the Gabor wave front set
Luigi Rodino, S. Ivan Trapasso
In this expository note we present an introduction to the Gabor wave front set. As is often the case, this tool in microlocal analysis has been introduced and reinvented in differe…