Approximation theory and harmonic analysis on spheres and balls

Approximation theory and harmonic analysis on spheres and balls

1. Spherical harmonics2. 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 group...

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Bibliographische Detailangaben
1. Verfasser: Dai, Feng (VerfasserIn)
Weitere Verfasser: Xu, Yuan (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: New York, NY u.a. Springer c2013
Schriftenreihe:Springer monographs in mathematics
Schlagworte:
Harmonic analysis > Approximation theory > Harmonische Analyse > Polynomapproximation > Sphäre > Kugel
Online Zugang:Autorenbiografie
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Beschreibung
Zusammenfassung:1. Spherical harmonics2. 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 Cesàro means -- 9. Projection operators and Cesàro 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.
Beschreibung:Literaturverz. S. 427 - 434
Erscheinungsjahr in Vorlageform:c2013
Beschreibung:XVIII, 440 S.
graph. Darst.
ISBN:9781461466598
978-1-4614-6659-8