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Approximation Theory and Harmonic Analysis on Spheres and Balls

Approximation Theory and Harmonic Analysis on Spheres and Balls

Paperback

Series: Springer Monographs in Mathematics

General Mathematics

ISBN10: 1493901311
ISBN13: 9781493901319
Publisher: Springer Nature
Published: May 22 2015
Pages: 440
Weight: 1.41
Height: 0.93 Width: 6.14 Depth: 9.21
Language: English

​​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 Cesàro Means.- 9 Projection Operators and Cesàro 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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