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math.AP2022★ 3 cited
Wigner Analysis of Operators. Part II: Schrödinger equations
Elena Cordero, Gianluca Giacchi, Luigi Rodino
We study the phase-space concentration of the so-called generalized metaplectic operators whose main examples are Schrödinger equations with bounded perturbations. To reach this go…
math.AP2022
Anisotropic global microlocal analysis for tempered distributions
Luigi Rodino, Patrik Wahlberg
We study an anisotropic version of the Shubin calculus of pseudodifferential operators on . Anisotropic symbols and Gabor wave front sets are defined in terms of decay…
math.AP2022
Microlocal analysis for Gelfand--Shilov spaces
Luigi Rodino, Patrik Wahlberg
We introduce an anisotropic global wave front set of Gelfand--Shilov ultradistributions with different indices for regularity and decay at infinity. The concept is defined by the l…