AbstractWe define the minimal and maximal operators of an elliptic pseudo-differential operator on Lp(Rn), 1 < p < ∞, and prove that they are equal. The spectrum and essential spectra of the minimal (or maximal) operator on Lp(Rn), 1 < p < ∞, are then described. Applications of the theory to the self-adjointness and spectral analysis of quantum mechanical observables on L2(Rn) are given
AbstractThe essential self-adjointness of the strongly elliptic operator L = ∑j,k=1n (∂j − ibj(x)) a...
AbstractWe prove an approximate spectral theorem for non-self-adjoint operators and investigate its ...
The class of pseudo-differential operators with symbols from Sm (superscript) po̧̧ (subscipt)(Ωx IRⁿ...
AbstractWe define the minimal and maximal operators of an elliptic pseudo-differential operator on L...
The minimal operator and the maximal operator of an elliptic pseudo-differential operator with symbo...
We prove the spectral invariance of SG pseudo-differential operators on L-P(R-n), 1 < p < infinity, ...
We prove that the minimal operator and the maximal operator of the Hermite operator are th...
As a new technique it is shown how general pseudo-differential operators can be estimated at arbitra...
AbstractLet Q be a self-adjoint, classical, zeroth order pseudodifferential operator on a compact ma...
AbstractLet A be a selft-adjoint operator on the Hilbert space L2Ω, ϱ) = {u ε Lloc2(Ω)|∫Ω|2 ϱ(x)dx <...
This book deals with elliptic differential equations, providing the analytic background necessary fo...
In the context of manifolds of bounded geometry, we show that the properties of proper uniform pseud...
This paper continues the studies of the essential spectrum of nonsemi-bounded pseudodifferential ope...
We study Fredholm properties for a special class of elliptic pseudo-differential operators. Using a ...
Inspired by a result of Wong (Partial Differ Equ 13(10):1209–1221, 1988), we establish an analytic d...
AbstractThe essential self-adjointness of the strongly elliptic operator L = ∑j,k=1n (∂j − ibj(x)) a...
AbstractWe prove an approximate spectral theorem for non-self-adjoint operators and investigate its ...
The class of pseudo-differential operators with symbols from Sm (superscript) po̧̧ (subscipt)(Ωx IRⁿ...
AbstractWe define the minimal and maximal operators of an elliptic pseudo-differential operator on L...
The minimal operator and the maximal operator of an elliptic pseudo-differential operator with symbo...
We prove the spectral invariance of SG pseudo-differential operators on L-P(R-n), 1 < p < infinity, ...
We prove that the minimal operator and the maximal operator of the Hermite operator are th...
As a new technique it is shown how general pseudo-differential operators can be estimated at arbitra...
AbstractLet Q be a self-adjoint, classical, zeroth order pseudodifferential operator on a compact ma...
AbstractLet A be a selft-adjoint operator on the Hilbert space L2Ω, ϱ) = {u ε Lloc2(Ω)|∫Ω|2 ϱ(x)dx <...
This book deals with elliptic differential equations, providing the analytic background necessary fo...
In the context of manifolds of bounded geometry, we show that the properties of proper uniform pseud...
This paper continues the studies of the essential spectrum of nonsemi-bounded pseudodifferential ope...
We study Fredholm properties for a special class of elliptic pseudo-differential operators. Using a ...
Inspired by a result of Wong (Partial Differ Equ 13(10):1209–1221, 1988), we establish an analytic d...
AbstractThe essential self-adjointness of the strongly elliptic operator L = ∑j,k=1n (∂j − ibj(x)) a...
AbstractWe prove an approximate spectral theorem for non-self-adjoint operators and investigate its ...
The class of pseudo-differential operators with symbols from Sm (superscript) po̧̧ (subscipt)(Ωx IRⁿ...
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