The wavefront set of a distribution describes not only the points where the distribution is
singular, but also the'directions' of the singularities. Because of its ability to control the …

This authoritative text studies pseudodifferential and Fourier integral operators in the
framework of time-frequency analysis, providing an elementary approach, along with …

We perform Wigner analysis of linear operators. Namely, the standard time-frequency
representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution …

We consider Schrödinger equations with real-valued smooth Hamiltonians, and non-smooth
bounded pseudo-differential potentials, whose symbols may not even be differentiable. The …

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 form …

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 nonnegative real part. We …

We study an anisotropic version of the Shubin calculus of pseudodifferential operators on R
d. Anisotropic symbols and Gabor wave front sets are defined in terms of decay or growth …

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 lack of …

We use techniques from time-frequency analysis to show that the space S _ ω S ω of rapidly
decreasing ω ω-ultradifferentiable functions is nuclear for every weight function ω (t)= o (t) ω …

We consider the spaces of ultradifferentiable functions S _ ω S ω as introduced by Björck
(and its dual S'_ ω S ω′) and we use time-frequency analysis to define a suitable wave …