TY - BOOK AU - Michel,Volker TI - Lectures on constructive approximation: fourier, spline, and wavelet methods on the real line, the sphere, and the ball T2 - Applied and numerical harmonic analysis SN - 9780817684020 (alk. paper) U1 - 511.4 23 PY - 2013/// CY - New York PB - Birkhauser KW - Approximation theory KW - Numerical analysis KW - Fourier analysis KW - Spline theory KW - Wavelets (Mathematics) KW - Spherical functions N1 - "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 ER -