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Overview
1 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 Groups.- 8 Boundedness of Projection Operator and Ces ro Means.- 9 Projection Operators and Ces 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.
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Details
- ISBN-13: 9781493901319
- ISBN-10: 1493901311
- Publisher: Springer
- Publish Date: May 2015
- Dimensions: 9.21 x 6.14 x 0.93 inches
- Shipping Weight: 1.41 pounds
- Page Count: 440
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