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math.AP2020
On the local well-posedness of the nonlinear heat equation associated to the fractional Hermite operator in modulation spaces
Elena Cordero
In this note we consider the nonlinear heat equation associated to the fractional Hermite operator , . We show the local solvability of the related Cau…
math.FA2020
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…
math.FA2020
Note on the Wigner distribution and Localization Operators in the quasi-Banach setting
Elena Cordero
Time-frequency analysis have played a crucial role in the development of localization operators in the last twenty years. We present its applications to the study of boundedness an…