Approximation Theory and Harmonic Analysis on Spheres and Balls [electronic resource] / by Feng Dai, Yuan Xu.
Record details
- ISBN: 9781461466604
- Physical Description: XVIII, 440 p. 1 illus. online resource.
- Publisher: New York, NY : Springer New York : 2013.
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| Subject: | Mathematics. Global analysis (Mathematics). Fourier analysis. Functions, special. Mathematics. Analysis. Approximations and Expansions. Fourier Analysis. Special Functions. |
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Electronic resources
| ââ1 Spherical Harmonics | ||
| 2 Convolution and Spherical Harmonic Expansion | ||
| 3 Littlewood-Paley Theory and Multiplier Theorem | ||
| 4 Approximation on the Sphere | ||
| 5 Weighted Polynomial Inequalities | ||
| 6 Cubature Formulas on Spheres | ||
| 7 Harmonic Analysis Associated to Reflection Groupsâ | ||
| 8 Boundedness of Projection Operator and Cesà ro Means | ||
| 9 Projection Operators and Cesà ro Means in L p Spaces | ||
| 10 Weighted Best Approximation by Polynomials | ||
| 11 Harmonic Analysis on the Unit Ball | ||
| 12 Polynomial Approximation on the Unit Ball | ||
| 13 Harmonic Analysis on the Simplex | ||
| 14 Applications | ||
| A Distance, Difference and Integral Formulas | ||
| B Jacobi and Related Orthogonal Polynomials | ||
| References | ||
| Index | ||
| Symbol Index. |