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Titlebook: Spherical Sampling; Willi Freeden,M. Zuhair Nashed,Michael Schreiner Textbook 2018 Springer International Publishing AG, part of Springer

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Geosystems Mathematicshttp://image.papertrans.cn/s/image/874242.jpg
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978-3-030-10060-5Springer International Publishing AG, part of Springer Nature 2018
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Spherical Harmonicste an ideal frequency-limited polynomial basis. This property makes spherical harmonics attractive for global modeling. Whenever trend representations of a signal are required on a global scale, spherical harmonics are good candidates.
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Bandlimited Multiscale Tree Samplinge. Scaledependent functions form versatile tools for representing general functions, decomposing data sets, or decorrelating signal ingredients. They especially become more and more important in Earth sciences, since most recent satellite missions deliver millions of data distributed around the globe.
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Basics and SettingsKeeping the geoscientifically motivated background in mind this book aims at specifying, developing, and classifying spherical sampling structures and methods.
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Zonal FunctionsThe “inverse Fourier transform” providing a function . from known Fourier coefficients .(.) allows the (geo)scientist to think of the function . as a superposition of “wave functions” . of different frequencies.
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