Preliminaries.- Function Systems.- Shannon Sampling Variants.- Bandlimited Sampling.- Spline Sampling.- Bandlimited Fourier Expansion Sampling.- Spacelimited Multi-Scale Approximate Identity Sampling.- Spacelimited Multi-Resolution Up-Function Sampling.- Spacelimited Multi-Scale Regularized Green Function Sampling.- Non-Spacelimited Wavelet Sampling.- Inverse Wavelet Sampling.- Conclusion.- Appendices.

This book presents, in a consistent and unified overview, results and developments in the field of today´s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Presents in a consistent and unified way new results and developments Accessible to graduate students in mathematics as well as to scientists in geosciences and geoengineering Shows how advances in the theory lead to new discoveries in other branches

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