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math.AP2018
Shubin type Fourier integral operators and evolution equations
Marco Cappiello, René Schulz, Patrik Wahlberg
We study the Cauchy problem for an evolution equation of Schrödinger type. The Hamiltonian is the Weyl quantization of a real homogeneous quadratic form with a pseudodifferential p…
math.AP2018
Lagrangian distributions and Fourier integral operators with quadratic phase functions and Shubin amplitudes
Marco Cappiello, René Schulz, Patrik Wahlberg
We study Fourier integral operators with Shubin amplitudes and quadratic phase functions associated to twisted graph Lagrangians with respect to symplectic matrices. We factorize s…