Approximation Theory and Harmonic Analysis on Spheres and Balls

• Κύριοι συγγραφείς: Dai, Feng (Συγγραφέας), Xu, Yuan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Approximation theory.; Fourier analysis.; Special functions.; Analysis.; Approximations and Expansions.; Fourier Analysis.; Special Functions.

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...

Πίνακας περιεχομένων:

• 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.