Hans Triebel

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math.FA2024

Spectral theory for fractal pseudodifferential operators

Hans Triebel

The paper deals with the distribution of eigenvalues of the compact fractal pseudodifferential operator $T_{τ}^{μ}$ , \[ \big( T^μ_τf\big)(x) = \int_{\mathbb{R}^n} e^{-ixξ} \, τ(x,ξ) \,…

math.FA2023

Mapping properties of Fourier transforms, revisited

Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel

The paper deals with continuous and compact mappings generated by the Fourier transform between distinguished Besov spaces $B_{p}^{s} (R^{n}) = B_{p, p}^{s} (R^{n})$ , $1\le p…