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Approximation Theory and Harmonic Analysis on Spheres and Balls Cover Image E-book E-book

Approximation Theory and Harmonic Analysis on Spheres and Balls [electronic resource] / by Feng Dai, Yuan Xu.

Dai, Feng. (author.). Xu, Yuan. (author.). SpringerLink (Online service) (Added Author).

Record details

  • ISBN: 9781461466604
  • Physical Description: XVIII, 440 p. 1 illus. online resource.
  • Publisher: New York, NY : Springer New York : 2013.
Subject: Mathematics.
Global analysis (Mathematics).
Fourier analysis.
Functions, special.
Mathematics.
Analysis.
Approximations and Expansions.
Fourier Analysis.
Special Functions.

Electronic resources


​​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.

Additional Resources