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publication name On the product of singular differential operators with their essential spectra in direct sum space
Authors Sobhy El-sayed Ibrahim
year 2015
keywords Productofdifferentialexpressions,regularlysolvableandwell-poseddifferentialoperators,essentialspectra, Hilbert-Schmidt integral operators.
journal Journal| MESA
volume 6
issue 1
pages 101-118
publisher Not Available
Local/International International
Paper Link Not Available
Full paper download
Supplementary materials Not Available
Abstract

We consider the product of general quasi-differential expressions τ1, τ2,..., τn each of order n with complex coefficients and their formal adjoints on the interval (a, b). It is shown in direct sum spaces L2 w (Ip), p= 1,..., N of functions defined on each of the separate intervals with the case of one singular end-points and when all solutions of the equation [Πn j= 1τj− λw] u= 0 and its adjoint [Πn j= 1τ+ j− λ w] v= 0 are in L2 w (a, b)(the limit circle case) that all well-posed extensions of the minimal operator T0 (τ1, τ2,..., τn) have resolvents ...

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