Spectral theory for fractal pseudodifferential operators

2024/05/22 by Triebel, Hans
#28A80 #35P15 #41A46 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2405.15814

Abstract

The paper deals with the distribution of eigenvalues of the compact fractal pseudodifferential operator T^μ_τ, ( T^μ_τf)(x) = ∫_ℝⁿ e^-ixξ τ(x,ξ) ( fμ)^\vee (ξ) d ξ, x∈ ℝⁿ, in suitable special Besov spaces B^s_p (ℝⁿ) = B^s_p,p (ℝⁿ), s>0, 10, 1

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