Spherical Sampling

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.

List 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.

About the author

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 

Summary

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.

Product details

• Authors: Will Freeden, Willi Freeden, M Zuhai Nashed, M Zuhair Nashed, M. Zuhair Nashed, Michael Schreiner
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783319714578
• ISBN: 978-3-31-971457-8
• No. of pages: 596
• Dimensions: 163 mm x 241 mm x 38 mm
• Weight: 1080 g
• Illustrations: XV, 596 p.
• Series: Geosystems Mathematics; Geosystems Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Mathematik, Analysis, B, Fachspezifischer Unterricht, Geophysics, Mathematics, Mathematics and Statistics, Applications of Mathematics, Teaching of a specific subject, Solid Earth Sciences, Numerical analysis, Partial Differential Equations, Differential calculus & equations, Information theory, Applied mathematics, Geophysics/Geodesy, Mathematics—Study and teaching, Mathematics Education, Special Functions, Information and Communication, Circuits