Lectures on constructive approximation : fourier, spline, and wavelet methods on the real line, the sphere, and the ball - Michel, Volker (New York : Birkhauser, 2013)
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.
"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.
Keywords: Approximation theory; Numerical analysis; Fourier analysis; Spline theory; Wavelets (Mathematics).; Spherical functions