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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 …

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 …

In this paper various properties of global and local changes of variables as well as
properties of canonical transforms are investigated on modulation and Wiener amalgam …

Sampling and reconstruction of functions is a fundamental tool in science. We develop an
analogous sampling theory for operators whose Kohn-Nirenberg symbols are bandlimited …

We consider a class of Fourier integral operators, globally defined on\mathbb R^ d, with
symbols and phases satisfying product type estimates (the so-called SG or scattering …

We prove sharp estimates for the dilation operator f (x)⟼ f (λx), when acting on Wiener
amalgam spaces W (Lp, Lq). Scaling arguments are also used to prove the sharpness of the …

We consider different types of (local) products f 1 f 2 in Fourier Lebesgue spaces.
Furthermore, we prove the existence of such products for other distributions satisfying …

Let ω, ω 0 be appropriate weight functions and q∈ 1,∞. We introduce the wave-front set,
WF_FL^q_(ω)(f) of f∈S' with respect to weighted Fourier Lebesgue space FL^q_(ω). We …

We study the action of Fourier Integral Operators (FIOs) of Hörmander's type on $\mathcal
{F} L^ p (\mathbb {R}^ d) _ {\operatorname {comp}} $, $1\le p\leq\infty $. We see, from the …