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.

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

Autorentext
Willi Freeden is Professor of Geomathematics at the Technical University of Kaiserslautern, Germany
Zuhair Nahed is Professor at the University of Central Florida, Orlando, USA
Michael Schreiner is Professor at the NTB of Buchs, St. Gallen

Zusammenfassung
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.

Inhalt
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.