Approximation Theory and Harmonic Analysis on Spheres and Balls

This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area.  While the first part of the book contains mainstream material on the subject, the second and the third parts deal with...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Dai, Feng (Author), Xu, Yuan (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer Monographs in Mathematics,
Subjects:
Mathematical analysis.
Approximation theory.
Fourier analysis.
Special functions.
Analysis.
Approximations and Expansions.
Fourier Analysis.
Special Functions.
Online Access:Texto Completo
Table of Contents:
  • 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.

Similar Items