Pseudodifference operators on weighted spaces, and applications to discrete schrödinger operators

DOI10.1023/B:ACAP.0000045307.63638.bbzbMath1082.39016MaRDI QIDQ1771173

Vladimir S. Rabinovich, Steffen Roch

Publication date: 7 April 2005

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionsessential spectrumexponential decayFredholm propertiesdiscrete Schrödinger operatorPhragmen-Lindelöf type theoremspseudodifference operator

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39)

Related Items (11)

Wiener algebra of operators on the lattice (μ ℤ)ⁿdepending on the small parameter μ>0 ⋮ Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ) ⋮ Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials ⋮ Exponential estimates of solutions of pseudodifferential equations on the lattice \((h \mathbb Z)^n\): applications to the lattice Schrödinger and Dirac operators ⋮ Dixmier traces for discrete pseudo-differential operators ⋮ $L^p$-boundedness of pseudo-differential operators on homogeneous trees ⋮ Semiclassical analysis and the Agmon-Finsler metric for discrete Schrödinger operators ⋮ Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\) ⋮ Solvability conditions for infinite systems of difference equations ⋮ Reconstruction of Input Signals in Time-Varying Filters ⋮ Discrete time-dependent wave equations. I. Semiclassical analysis

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