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Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball / Volker Michel.

By: Material type: TextTextSeries: Publication details: New York : Birkhauser, 2013.Description: xvi, 326 p. : illustrations (some color) ; 24 cmISBN:
  • 9780817684020 (alk. paper)
Subject(s): DDC classification:
  • 23 M623 511.4
Contents:
Part I. Basics. Basic fundamentals : what you need to know ; Approximation of functions on the real line -- Part II. Approximation on the sphere. Basic aspects ; Fourier analysis ; Spherical splines ; Spherical wavelet analysis ; Spherical Slepian functions -- Part III. Approximation on the 3D ball. Orthonormal bases ; Splines ; Wavelets for inverse problems on the 3D ball ; The regularized functional matching pursuit.
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"This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra"-- Page 4 of cover.

Includes bibliographical references (pages 307-315) and index.

Part I. Basics. Basic fundamentals : what you need to know ; Approximation of functions on the real line -- Part II. Approximation on the sphere. Basic aspects ; Fourier analysis ; Spherical splines ; Spherical wavelet analysis ; Spherical Slepian functions -- Part III. Approximation on the 3D ball. Orthonormal bases ; Splines ; Wavelets for inverse problems on the 3D ball ; The regularized functional matching pursuit.

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