34 citations · 132 across the 59 of their papers we have counts for
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On the inverse to the harmonic oscillator
Marco Cappiello, Luigi Rodino, Joachim Toft
Let be the Weyl symbol of the inverse to the harmonic oscillator on . We prove that and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov typ…
Wave-front sets related to quasi-analytic Gevrey sequences
Stevan Pilipovic, Joachim Toft
Quasi-analytic wave-front sets of distributions which correspond to the Gevrey sequence , are defined and investigated. The propagation of singularities are ded…
Products on Schatten-von Neumann classes and modulation spaces
Joachim Toft
We consider modulation space and spaces of Schatten-von Neumann symbols where corresponding pseudo-differential operators map one Hilbert space to another. We prove Hölder-Young an…
Schatten-von Neumann properties in the Weyl calculus
Ernesto Buzano, Joachim Toft
Let $\Op_t(a)$, for , be the pseudo-differential operator $$ f(x) \mapsto (2π)^{-n}\iint a((1-t)x+ty,ξ)f(y)e^{i\scal {x-y}ξ} dydξ$$ and let be the se…
Micro-local analysis in Fourier Lebesgue and modulation spaces. Part I
Stevan Pilipovic, Nenad Teofanov, Joachim Toft
Let be appropriate weight functions and . We introduce the wave-front set, $\WF_{\mathscr FL^q_{(ω)}}(f)$ of with respect to weighted F…
Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III
Joachim Toft, Francesco Concetti, Gianluca Garello
We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation spa…