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Memorias de investigación
Research Publications in journals:
Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials
Year:2011
Research Areas
  • Mathematics,
  • Information technology and adata processing
Information
Abstract
In this paperwe prove two consequences of the subnormal character of theHessenberg matrixD when the hermitian matrixMof 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 curve in a noncommutative sense.We also prove an extension of the Krein theorem for discrete measures on the complex plane based on properties of subnormal operators.
International
Si
JCR
Si
Title
Linear Algebra And Its Applications
ISBN
0024-3795
Impact factor JCR
1,005
Impact info
Volume
Journal number
From page
2314
To page
2320
Month
SIN MES
Ranking
Q2
Participants
  • Autor: Emilio Torrano Gimenez (UPM)
  • Autor: Venancio Tomeo Perucha (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Polinomios Ortogonales y Geometría Fractal
S2i 2020 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)