Spherical Sampling

• Main Authors: Freeden, Willi (Author, 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)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Geosystems Mathematics,
• Subjects: 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 scien...

Table of Contents:

• 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.