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Lasser, R.* ; Obermaier, J.

On the spectrum of tridiagonal operators in the context of orthogonal polynomials.

Acta Sci. Math., DOI: 10.1007/s44146-023-00106-6 (2024)
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The basis for our studies is a large class of orthogonal polynomial sequences (Pn)n∈N0, which is normalized by Pn(x0)=1 for all n∈N0 where the coefficients in the three-term recurrence relation are bounded. The goal is to check if x0∈R is in the support of the orthogonalization measure μ. For this purpose, we use, among other things, a result of G. H. Hardy concerning Cesàro operators on weighted l2-spaces. These investigations generalize ideas from Lasser et al. (Arch Math 100:289–299, 2013).
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter 33d45 ; 47b36 ; Cesàro Operators ; Growth Of Derivatives ; Orthogonal Polynomials ; Spectrum ; Tridiagonal Operators
ISSN (print) / ISBN 0001-6969
Zeitschrift Acta Scientiarum Mathematicarum
Verlag Bolyai Institute, University of Szeged
Verlagsort 233 Spring Street, 6th Floor, New York, Ny 10013 Usa
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Strategy and Digitalization (DIG)
Förderungen Helmholtz Zentrum Mnchen - Deutsches Forschungszentrum fr Gesundheit und Umwelt (GmbH) (4209)