TY - BOOK AU - Dai,Feng AU - Xu,Yuan TI - Approximation theory and harmonic analysis on spheres and balls / T2 - Springer monographs in mathematics SN - 9781461466598 U1 - 511.4 23 PY - 2013/// CY - New York PB - Springer KW - Harmonic analysis KW - Approximation theory N1 - Includes bibliographical references and index; 1. Spherical harmonics -- 2. Convolution operator and spherical harmonic expansion -- 3. Littlewood-Paley theory and the multiplier theorem -- 4. Approximation on the sphere -- 5. Weighted polynomial inequalities -- 6. Cubature formulas on spheres -- 7. Harmonic analysis associated with reflection groups -- 8. Boundedness of projection operators and Cesaro means -- 9. Projection operators and Cesaro means in LP 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 ER -