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Titlebook: Spherical Functions of Mathematical Geosciences; A Scalar, Vectorial, Willi Freeden,Michael Schreiner Book 2022Latest edition The Editor(s)

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Spherical Functions of Mathematical Geosciences978-3-662-65692-1Series ISSN 2510-1544 Series E-ISSN 2510-1552
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Circular HarmonicsOur considerations in the following chapters will be exclusively undertaken with respect to two-dimensional spheres embedded in the Euclidean space ..
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Vector Spherical HarmonicsVarious applications imply different formulations of vector spherical harmonics, putting the accent on different issues.
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Tensor Spherical HarmonicsThe theory of tensor spherical harmonics extends in canonical way our approach to vector spherical harmonics. In fact, our approach is a straightforward generalization of the vector spherical harmonic theory presented in Chapter 6.
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Potentials in Euclidean SpaceIn what follows, we discuss function systems occurring in Cartesian and spherical potential theory to handle problems, e.g., in geosciences, prospection, and exploration.
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Potentials on the SphereThus, potential theory on the sphere . with respect to . shows some aspects different from potential theory in Euclidean space R3.
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Multiscale Mollifier Potential Systems in GeoapplicationsIn what follows we discuss first order differential equations concerned with geoscientifically relevant applications, namely gravitational deflections of the vertical and geostrophic ocean flow.
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