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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 use Komatsu's approach in the study of Gelfand-Shilov spaces of ultradifferentiable
functions in both quasianalytic and non-quasianalytic case. In particular, we prove the kernel …

We consider modulation space and spaces of Schatten–von Neumann symbols where
corresponding pseudo-differential operators map one Hilbert space to another. We prove …

We deduce continuity properties for pseudo-differential operators with symbols in Orlicz
modulation spaces when acting on other Orlicz modulation spaces. In particular we extend …

We use sharp convolution estimates for weighted Lebesgue and modulation spaces to
obtain an extension of the celebrated Cordero-Gröchenig theorems on boundedness and …

We completely characterize the boundedness on Wiener amalgam spaces of the short-time
Fourier transform (STFT), and on both L p and Wiener amalgam spaces of a special class of …

Localization operators have been object of study in quantum mechanics, in PDE and signal
analysis recently. In engineering, a natural language is given by time-frequency analysis …

We introduce a class of bilinear localization operators and show how to interpret them as
bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case …

Continuous frames and tensor products are important topics in theoretical physics. This
paper combines those concepts. We derive fundamental properties of continuous frames for …