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...

Cijeli opis

Spremljeno u:
Bibliografski detalji
Glavni autori: Atkinson, Kendall, 1940-, Han, Weimin, 1963-...., mathématicien (Autor)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdanje:1st ed. 2012.
Serija:Lecture Notes in Mathematics 2044
Teme:
Online pristup:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Bilješka: L'impression du document génère 252 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
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
Opis
Sažetak: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 for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions
Opis djela:L'impression du document génère 252 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografija:Bibliogr. Index
ISBN:9783642259838
ISSN:1617-9692
Pristup:Accès en ligne pour les établissements français bénéficiaires des licences nationales
Accès soumis à abonnement pour tout autre établissement
Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017