This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the…
Introductory Remarks -- Part I: Gravitation and Gravimetry -- Gravitation -- Gravimetry -- Part II: Potential Theory -- Classical Context -- Newton-Haar Mollifier Theory and Application -- Disturbing Potential -- Part III: Surface Decorrelation -- Space versus Frequency Surface …
This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, an…
Written by leading experts, this book provides a clear and comprehensive survey of the "status quo" of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constr…