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On Two Sequences of Orthogonal Polynomials Related to Jordan Blocks

✍ Scribed by Stefano Capparelli, Paolo Maroscia

Book ID
120922850
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
352 KB
Volume
10
Category
Article
ISSN
1660-5446

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Two applications of the subnormality of
Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials
✍ V. Tomeo; E. Torrano 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 202 KB

In this paper we prove two consequences of the subnormal character of the Hessenberg matrix D when the hermitian matrix M of an inner product is a moment matrix. If this inner product is defined by a measure supported on an algebraic curve in the complex plane, then D satisfies the equation of the c