Orthogonal Polynomials and Linear Functionals
An Algebraic Approach and Applications
Seiten
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.
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.
Universidad Politécnica de Madrid, Spain
Universidad Carlos III de Madrid, Spain
Universidad Rey Juan Carlos, Madrid, Spain
| Erscheinungsdatum | 22.07.2021 |
|---|---|
| Reihe/Serie | EMS Series of Lectures in Mathematics |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Askey scheme • Gauss quadrature formulas • Jacobi matrices • linear functionals • matrix factorization • orthogonal polynomials • semiclassical linear functionals • spectral transformations • zeros of orthogonal polynomials |
| ISBN-10 | 3-98547-008-1 / 3985470081 |
| ISBN-13 | 978-3-98547-008-2 / 9783985470082 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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Buch | Hardcover (2023)
Carl Hanser (Verlag)
CHF 23,75
