59 citations · 419 across the 51 of their papers we have counts for
37 papers · 1 filter
Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
Elena Cordero, Gianluca Giacchi
We generalize the results for Banach algebras of pseudodifferential operators obtained by Gröchenig and Rzeszotnik in [24] to quasi-algebras of Fourier integral operators. Namely,…
Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
Elena Cordero, Luigi Rodino
In the last twenty years modulation spaces, introduced by H. G. Feichtinger in 1983, have been successfully addressed to the study of signal analysis, PDE's, pseudodifferential ope…
Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform
Peter Balazs, Federico Bastianoni, Elena Cordero +2
We study the connection between STFT multipliers having windows , symbols , , and the Fo…
Quasi-Banach modulation spaces and localization operators on locally compact abelian groups
Federico Bastianoni, Elena Cordero
We introduce new quasi-Banach modulation spaces on locally compact abelian (LCA) groups which coincide with the classical ones in the Banach setting and prove their main properties…
Characterization of smooth symbol classes by Gabor matrix decay
Federico Bastianoni, Elena Cordero
For we introduce the symbol classes , , consisting of smooth functions on such that $|\partial^ασ(z)|\leq C_α(1+|z|^2)^{…
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…