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Lectures on Constructive Approximation Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball by Volker Michel

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Published by Birkhäuser Boston, Imprint: Birkhäuser in Boston .
Written in English

Subjects:

  • Numerical analysis,
  • Mathematical physics,
  • Approximations and Expansions,
  • Special Functions,
  • Mathematics,
  • Fourier analysis,
  • Mathematical Methods in Physics

Book details:

About the Edition

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 functions

This 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.

Edition Notes

Statementby Volker Michel
SeriesApplied and Numerical Harmonic Analysis
ContributionsSpringerLink (Online service)
Classifications
LC ClassificationsQA401-425
The Physical Object
Format[electronic resource] :
PaginationXVI, 326 p. 7 illus., 5 illus. in color.
Number of Pages326
ID Numbers
Open LibraryOL27070082M
ISBN 109780817684037

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Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they Manufacturer: Birkhäuser. 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. Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they . 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.

Lectures On Constructive Approximation by MaxieMcgowan - Issuu Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books. Lectures on Constructive Approximation has a pleasant balance of exposition and derivation. Although there are some extensive calculations, it is not difficult to maintain one’s bearings. The book also has quite a few colorful graphics. @inproceedings{MichelLecturesOC, title={Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball}, author={Volker Michel}, year={} } Volker Michel Published Mathematics Introduction: the Problem to be Solved.- . Constructive approximation Ronald A. DeVore, George G. Lorentz The purpose of this book and its sequel is to give a connected, unified exposition of Approximation Theory for .

Constructive Approximation | Ronald A. DeVore, George G. Lorentz | download | B–OK. Download books for free. Find books. Constructive Approximation is an international mathematics journal dedicated to Approximations and Expansions and related research in computation, function theory, functional analysis, interpolation spaces and interpolation of operators, numerical analysis, space of functions, special functions, and applications. Welcome to a beautiful subject!—the constructive approximation of functions. And welcome to a rather unusual book. Approximation theory is an established field, and my aim is to teach you some of its most important ideas and results, centered on classical topics re-lated to polynomials and rational functions. The style of this book, however. 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 : Birkhäuser Boston.