Approximation Theory and Harmonic Analysis on Spheres and Balls

By Feng Dai and Yuan Xu

Book 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.

• Format: Hardcover
• Language: English
• ISBN: 1461466598
• ISBN13: 9781461466598
• Release Date: April 2013
• Publisher: Springer
• Length: 440 Pages
• Weight: 1.80 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"