Titlebook: Lectures on Constructive Approximation; Fourier, Spline, and Volker Michel Textbook 2013 Springer Science+Business Media New York 2013 Four

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Spherical Wavelet Analysisapplied to numerous geodetic and geophysical problems and have been adapted for several other classes of tasks (e.g., the approximation of vectorial and tensorial functions) since their introduction. These wavelets have similar features in comparison to Euclidean wavelets, although several aspects b

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Spherical Slepian Functionsonics are ideal to represent global phenomena or structures with, at least, a very large spatial extension. The localized basis functions discussed so far are isotropic, that is, they are associated to zonal functions.

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Textbook 2013s 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 provid

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2296-5009 trations included to optimize the understanding of topics.Co.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

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Basic Aspectsalized trial functions, such as splines, wavelets, and Slepian functions, on the sphere. We will also see that the spherical splines and wavelets have analogous properties in comparison to their 1D counterparts..Before we can discuss the really interesting stuff, we need some definitions, notations, and basic propositions of spherical analysis.

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