14 citations · 29 across the 19 of their papers we have counts for
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Propagation of anisotropic Gabor wave front sets
Patrik Wahlberg
We show a result on propagation of the anisotropic Gabor wave front set for linear operators with a tempered distribution Schwartz kernel. The anisotropic Gabor wave front set is p…
Propagation of anisotropic Gelfand-Shilov wave front sets
Patrik Wahlberg
We show a result on propagation of the anisotropic Gelfand--Shilov wave front set for linear operators with Schwartz kernel which is a Gelfand--Shilov ultradistribution of Beurling…
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…
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…
Semigroups for quadratic evolution equations acting on Shubin-Sobolev and Gelfand-Shilov spaces
Patrik Wahlberg
We consider the initial value Cauchy problem for a class of evolution equations whose Hamiltonian is the Weyl quantization of a homogeneous quadratic form with non-negative definit…
The Gabor wave front set of compactly supported distributions
Patrik Wahlberg
We show that the Gabor wave front set of a compactly supported distribution equals zero times the projection on the second variable of the classical wave front set.
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…
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…
Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
Evanthia Carypis, Patrik Wahlberg
We study propagation of phase space singularities for the initial value Cauchy problem for a class of Schrödinger equations. The Hamiltonian is the Weyl quantization of a quadratic…
Microlocal properties of Shubin pseudodifferential and localization operators
René Schulz, Patrik Wahlberg
We investigate global microlocal properties of localization operators and Shubin pseudodifferential operators. The microlocal regularity is measured in terms of a scale of Shubin-t…
Propagation of polynomial phase space singularities for Schrödinger equations with quadratic Hamiltonians
Patrik Wahlberg
We study propagation of phase space singularities for a Schrödinger equation with a Hamiltonian that is the Weyl quantization of a quadratic form with non-negative real part. Phase…
Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians
Karel Pravda-Starov, Luigi Rodino, Patrik Wahlberg
We study propagation of the Gabor wave front set for a Schrödinger equation with a Hamiltonian that is the Weyl quantization of a quadratic form with non-negative real part. We poi…
The equality of the homogeneous and the Gabor wave front set
René Schulz, Patrik Wahlberg
We prove that Hörmander's global wave front set and Nakamura's homogeneous wave front set of a tempered distribution coincide. In addition we construct a tempered distribution with…