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math.AP2008★ 1 cited
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…
math.AP2008★ 1 cited
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…