Spherical Functions of Mathematical Geosciences A Scalar, Vectorial, and Tensorial Setup /

• Main Authors: Freeden, Willi. (Author), Schreiner, Michael. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Advances in Geophysical and Environmental Mechanics and Mathematics,
• Subjects: Geography.; Physical geography.; Mathematics.; Earth Sciences.; Geophysics/Geodesy.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-85112-7

This book collects all material developed by the Geomathematics Group, TU Kaiserslautern, during the few last years to set up a theory of spherical functions of mathematical (geo-)physics. The work shows a twofold transition: First, the natural transition from the scalar to the vectorial and tensori...

Table of Contents:

• 1 Introduction
• 2 Basic Settings and Spherical Nomenclature
• 3 Scalar Spherical Harmonics
• Green Functions and Integral Theorems
• 5 Vector Spherical Harmonics
• 6 Tensor Spherical Harmonics
• 7 Scalar Zonal Kernel Functions
• 8 Vector Zonal Kernel Functions
• 9 Tensorial Zonal Kernel Functions
• 10 Application: Earths Gravity Field
• Concluding Remarks
• List of Symbols
• Bibliography
• Index.