ENGLISH

Spherical functions of mathematical geosciences

By Willi Freeden , Michael Schreiner

Book information

Publisher
Springer
Year
2009
ISBN
3540851119, 9783540851110
Language
english
Format
PDF
Filesize
8 MB (7961845 bytes)
Series
Advances in Geophysical and Environmental Mechanics and Mathematics
Pages
615\615
Library
Kolxo3
Time added
2010-11-11 16:01:50

Description

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 tensorial theory of spherical harmonics is given in coordinate-free representation, based on new variants of the addition theorem and the Funk-Hecke formulas. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is presented in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of constructive approximation and data analysis. In doing so, the whole palette of spherical (trial) functions is provided for modeling and simulating phenomena and processes of the Earth system.

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