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

Let X be a ball quasi-Banach function space on ℝ n. In this article, we introduce the weak
Hardy-type space WHX (ℝ n), associated with X, via the radial maximal function. Assuming …

In the last twenty years modulation spaces, introduced by HG Feichtinger in 1983, have
been successfully addressed to the study of signal analysis, PDE's, pseudodifferential …

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

It is well known that the matrix of a metaplectic operator with respect to phase-space shifts is
concentrated along the graph of a linear symplectic map. We show that the algebra …

We use time-frequency methods for the study of Fourier Integral operators (FIOs). In this
paper we shall show that Gabor frames provide very efficient representations for a large …

The Wigner distribution is a milestone of Time–frequency Analysis. In order to cope with its
drawbacks while preserving the desirable features that made it so popular, several kinds of …

The cross-Wigner distribution W (f, g) of two functions or temperate distributions f, g is a
fundamental tool in quantum mechanics and in signal analysis. Usually, in applications in …

We study the local-in-time regularity of the Brownian motion with respect to localized
variants of modulation spaces Msp, q and Wiener amalgam spaces Wsp, q. We show that …

We deal with fixed-time and Strichartz estimates for the Schrödinger propagator as an
operator on Wiener amalgam spaces. We discuss the sharpness of the known estimates and …