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Orthogonal Polynomials and Linear Fu...
~
García-Ardila, Juan Carlos,
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Orthogonal Polynomials and Linear Functionals = An Algebraic Approach and Applications /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Orthogonal Polynomials and Linear Functionals/ Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga
Reminder of title:
An Algebraic Approach and Applications /
Author:
García-Ardila, Juan Carlos,
other author:
Marcellán, Francisco,
Published:
Zuerich, Switzerland :European Mathematical Society Publishing House, : 2021,
Description:
1 online resource (128 pages)
Subject:
Mathematics and science -
Online resource:
https://doi.org/10.4171/ELM/33
Online resource:
https://www.ems-ph.org/img/books/garcia-ardila-etal_mini.jpg
ISBN:
9783985475087
Orthogonal Polynomials and Linear Functionals = An Algebraic Approach and Applications /
García-Ardila, Juan Carlos,
Orthogonal Polynomials and Linear Functionals
An Algebraic Approach and Applications /[electronic resource] :Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga - Zuerich, Switzerland :European Mathematical Society Publishing House,2021 - 1 online resource (128 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.
Restricted to subscribers:https://www.ems-ph.org/ebooks.php
This book presents an introduction to orthogonal polynomials, with an algebraic flavor, based on linear functionals defining the orthogonality and the Jacobi matrices associated with them. Basic properties of their zeros as well as quadrature rules are discussed. A key point is the analysis of those functionals satisfying Pearson equations (semiclassical case) and the hierarchy based on their class. The book's structure reflects the fact that its content is based on a set of lectures delivered by one of the authors at the first Orthonet Summer School in Seville, Spain in 2016. The presentation of the material is self-contained and will be valuable to students and researchers interested in a novel approach to the study of orthogonal polynomials, focusing on their analytic properties.
ISBN: 9783985475087
Standard No.: 10.4171/ELM/33doiSubjects--Topical Terms:
3481059
Mathematics and science
Orthogonal Polynomials and Linear Functionals = An Algebraic Approach and Applications /
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This book presents an introduction to orthogonal polynomials, with an algebraic flavor, based on linear functionals defining the orthogonality and the Jacobi matrices associated with them. Basic properties of their zeros as well as quadrature rules are discussed. A key point is the analysis of those functionals satisfying Pearson equations (semiclassical case) and the hierarchy based on their class. The book's structure reflects the fact that its content is based on a set of lectures delivered by one of the authors at the first Orthonet Summer School in Seville, Spain in 2016. The presentation of the material is self-contained and will be valuable to students and researchers interested in a novel approach to the study of orthogonal polynomials, focusing on their analytic properties.
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