Lectures on constructive approximation : Fourier, Spline, and Wavelet methods on the real line, the sphere, and the ball
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author s lectures on classical approximation methods based on orthogonal polyno...
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| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2013. |
| Collection: | Applied and Numerical Harmonic Analysis
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lectures on constructive approximation, Fourier, spline, and wavelet methods on the real line, the sphere, and the ball, Volker Michel, 2013, 1 vol. (xvi-326 p.), Applied and numerical harmonic analysis, 978-0-8176-8402-0 • Lectures on Constructive Approximation, Texte imprimé, 9780817684044 |
| Résumé: | Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author s lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets.Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth s or the brain s interior. Specific topics covered include:* the advantages and disadvantages of Fourier, spline, and wavelet methods* theory and numerics of orthogonal polynomials on intervals, spheres, and balls* cubic splines and splines based on reproducing kernels* multiresolution analysis using wavelets and scaling functionsThis textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields |
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| Description: | L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Format: | Nécessite un lecteur de fichier PDF |
| ISBN: | 9780817684037 |
| ISSN: | 2296-5017 |
| Accès: | 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 |