Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended...

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Главные авторы: Atkinson, Kendall, 1940-, Han, Weimin, 1963-...., mathématicien (Автор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Редактирование:1st ed. 2012.
Серии:Lecture Notes in Mathematics 2044
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Примечание: L'impression du document génère 252 p.
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Edition sous un autre format:• Spherical harmonics and approximations on the unit sphere, an introduction, Kendall Atkinson, Weimin Han, 2012, Heidelberg [etc.], Springer, 1 vol. (IX-244 p.), Lecture notes in mathematics, 978-3-642-25982-1
Оглавление:
  • 1 Preliminaries 2 Spherical Harmonics 3 Differentiation and Integration over the Sphere 4 Approximation Theory 5 Numerical Quadrature 6 Applications: Spectral Methods