Approximation Theory and Harmonic Analysis on Spheres and Balls

Authors:

ISBN: 978-1-4614-6659-8 (Print) 978-1-4614-6660-4 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xviii

  2. No Access

    Book Chapter

    Pages 1-27

    Spherical Harmonics

  3. No Access

    Book Chapter

    Pages 29-51

    Convolution Operator and Spherical Harmonic Expansion

  4. No Access

    Book Chapter

    Pages 53-78

    Littlewood–Paley Theory and the Multiplier Theorem

  5. No Access

    Book Chapter

    Pages 79-103

    Approximation on the Sphere

  6. No Access

    Book Chapter

    Pages 105-126

    Weighted Polynomial Inequalities

  7. No Access

    Book Chapter

    Pages 127-153

    Cubature Formulas on Spheres

  8. No Access

    Book Chapter

    Pages 155-187

    Harmonic Analysis Associated with Reflection Groups

  9. No Access

    Book Chapter

    Pages 189-211

    Boundedness of Projection Operators and Cesàro Means

  10. No Access

    Book Chapter

    Pages 213-239

    Projection Operators and Cesàro Means in L P Spaces

  11. No Access

    Book Chapter

    Pages 241-263

    Weighted Best Approximation by Polynomials

  12. No Access

    Book Chapter

    Pages 265-296

    Harmonic Analysis on the Unit Ball

  13. No Access

    Book Chapter

    Pages 297-331

    Polynomial Approximation on the Unit Ball

  14. No Access

    Book Chapter

    Pages 333-361

    Harmonic Analysis on the Simplex

  15. No Access

    Book Chapter

    Pages 363-401

    Applications

  16. Back Matter

    Pages 403-440