Geodesic
On the Common Part of the Spectrum of Finite Difference Operators Generated by Systems of Polynomials
Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 703-706

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In this paper, we study the spectra of finite difference operators generated by systems of multiple orthogonal polynomials and the corresponding systems of measures of Stieltjes type. We show that the common support of the orthogonality measures coincides with the intersection of the spectra of the family of finite difference operators with common collection of Weyl functions.
Keywords: multiple orthogonality polynomials, difference operators, essential spectrum, Hardy space, Toeplitz operator.
Mots-clés : Hessenberg matrix 
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     author = {E. V. Zakharova},
     title = {On the {Common} {Part} of the {Spectrum} of {Finite} {Difference} {Operators} {Generated} by {Systems} of {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {703--706},
     publisher = {mathdoc},
     volume = {81},
     number = {5},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a6/}
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E. V. Zakharova. On the Common Part of the Spectrum of Finite Difference Operators Generated by Systems of Polynomials. Matematičeskie zametki, Tome 81 (2007) no. 5, pp. 703-706. http://geodesic.mathdoc.fr/item/MZM_2007_81_5_a6/