34 citations · 132 across the 59 of their papers we have counts for
6 papers · 1 filter
Twisted convolution, pseudo-differential operators and Fourier modulation spaces
Joachim Toft
We discuss continuity of the twisted convolution on (weighted) Fourier modulation spaces. We use these results to establish continuity results for the twisted convolution on Lebesg…
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 II
Stevan Pilipovic, Nenad Teofanov, Joachim Toft
We consider different types of (local) products in Fourier Lebesgue spaces. Furthermore, we prove the existence of such products for other distributions satisfying approp…
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…
Changes of variables in modulation and Wiener amalgam spaces
Michael Ruzhansky, Mitsuru Sugimoto, Joachim Toft +1
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 spaces. We…
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…