Matrix Uvarov Transformation on the Unit Circle: Asymptotic Properties
- Herbert Dueñas,
- Edinson Fuentes,
- Luis E. Garza(corresponding author)
- Universidad Nacional de Colombia,
- Universidad de Colima
Research Output:
Contribution to journal
Article
Peer-reviewPublication metrics
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SciVal
FWCI
0.22
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Author count
3
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Paper percentile
34
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Citations
1
Abstract
Let σ be an l× l Hermitian matrix measure supported on the unit circle. In this contribution, we study some algebraic and analytic properties of matrix orthogonal polynomials associated with the Uvarov matrix transformation of σ defined by dσum(z)=dσ(z)+∑j=1mMjδ(z-ζj),where Mj is an l× l positive definite matrix, ζj∈ C with ζj≠ ζi and δ is the Dirac matrix measure.
Publication Information
Output type
Research Output:
Contribution to journal
Article
Peer-reviewOriginal language
EnglishPages from-to (Number of pages)
Pages 279-315 (37 pages)Journal (Volume, Issue Number)
Bulletin of the Malaysian Mathematical Sciences Society (Volume 44, Issue 1)Publication milestones
- Published - 01/2021
Publication status
Published - 01/2021
ISSN
0126-6705Publication IDs
- Scopus: 85086034776
Funding Details
We thank the anonymous referees for their useful comments and suggestions. They greatly contributed to improve the contents and presentation of the manuscript. The work of the third author was supported by México’s Consejo Nacional de Ciencia y Tecnología (Conacyt) Grant 287523.
We thank the anonymous referees for their useful comments and suggestions. They greatly contributed to improve the contents and presentation of the manuscript. The work of the third author was supported by M?xico?s Consejo Nacional de Ciencia y Tecnolog?a (Conacyt) Grant 287523.
FundersFunding numbers
M?xico?s Consejo Nacional de Ciencia y Tecnolog?a
-CONACYT
287523