| Description |
1 online resource (xviii, 440 pages) |
| Series |
Springer monographs in mathematics, 1439-7382 |
|
Springer monographs in mathematics.
|
| Contents |
Spherical Harmonics -- Convolution Operator and Spherical Harmonic Expansion -- Littlewood-Paley Theory and the Multiplier Theorem -- Approximation on the Sphere -- Weighted Polynomial Inequalities -- Cubature Formulas on Spheres -- Harmonic Analysis Associated with Reflection Groups -- Boundedness of Projection Operators and Cesàro Means -- Projection Operators and Cesàro Means in L P Spaces -- Weighted Best Approximation by Polynomials -- Harmonic Analysis on the Unit Ball -- Polynomial Approximation on the Unit Ball -- Harmonic Analysis on the Simplex -- Applications |
| Summary |
This monograph covers approximation theory and harmonic analysis on balls and spheres. It provides mainstream material on the subject as well as more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes, and includes several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography |
| Analysis |
Mathematics |
|
Global analysis (Mathematics) |
|
Fourier analysis |
|
Functions, special |
|
Analysis |
|
Approximations and Expansions |
|
Special Functions |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Print version record |
| In |
Springer eBooks |
| Subject |
Harmonic analysis.
|
|
Approximation theory.
|
|
Fourier Analysis
|
|
MATHEMATICS -- Infinity.
|
|
Análisis armónico
|
|
Aproximación, Teoría de
|
|
Approximation theory
|
|
Harmonic analysis
|
| Form |
Electronic book
|
| Author |
Xu, Yuan, 1957-
|
| ISBN |
9781461466604 |
|
1461466601 |
|
1461466598 |
|
9781461466598 |
|
