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- W2953230963 abstract "We study evolution equations associated to time-dependent dissipative non-selfadjoint quadratic operators. We prove that the solution operators to these non-autonomous evolution equations are given by Fourier integral operators whose kernels are Gaussian tempered distributions associated to non-negative complex symplectic linear transformations, and we derive a generalized Mehler formula for their Weyl symbols. Some applications to the study of the propagation of Gabor singularities (characterizing the lack of Schwartz regularity) for the solutions to non-autonomous quadratic evolution equations are given." @default.
- W2953230963 created "2019-06-27" @default.
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- W2953230963 date "2017-03-08" @default.
- W2953230963 modified "2023-09-25" @default.
- W2953230963 title "Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities" @default.
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