Spherical Sampling

• Κύριοι συγγραφείς: Freeden, Willi (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Nashed, M. Zuhair (http://id.loc.gov/vocabulary/relators/aut), Schreiner, Michael (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Geosystems Mathematics,
• Θέματα: Special functions.; Partial differential equations.; Numerical analysis.; Geophysics.; Information theory.; Mathematics-Study and teaching .; Special Functions.; Partial Differential Equations.; Numerical Analysis.; Geophysics/Geodesy.; Information and Communication, Circuits.; Mathematics Education.

 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. 

 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.