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Approximation theory and harmonic analysis on spheres and balls / Feng Dai and Yuan Xu.

By: Contributor(s): Material type: TextTextSeries: Publication details: New York : Springer, 2013.Description: xviii, 440 p. : 24 cmISBN:
  • 9781461466598
Subject(s): DDC classification:
  • 511.4 23 D132
Contents:
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 511.4 D132 (Browse shelf(Opens below)) Available 135231
Total holds: 0

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.

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