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Geronimus spectral transforms and measures on the complex plane

✍ Scribed by F. Marcellán; J. Hernández

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
211 KB
Volume
219
Category
Article
ISSN
0377-0427

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✦ Synopsis

We analyze a special spectral transform of a measure supported on a compact subset C of the complex plane. A perturbation 1 of is said to be a Geronimus spectral transform if d 1 = d |z -| 2 where / ∈ C. We focus our attention in the analysis of the Hessenberg matrix associated with the multiplication operator in terms of the orthogonal polynomial basis defined by the measure 1 .

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