Handbook of Mathematical Geodesy Functional Analytic and Potential Theoretic Methods /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Freeden, Willi (Editor, http://id.loc.gov/vocabulary/relators/edt), Nashed, M. Zuhair (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Geosystems Mathematics,
• Subjects: Harmonic analysis.; Geophysics.; Partial differential equations.; Abstract Harmonic Analysis.; Geophysics/Geodesy.; Partial Differential Equations.

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, constructive appr...

Table of Contents:

• Introduction
• Gauss as Scientific Mediator between Mathematics and Geodesy from the Past to the Present
• An Overview on Tools from Functional Analysis
• Operator-Theoretic and Regularization Approaches to Ill-Posed Problems
• Geodetic Observables and Their Mathematical Treatment in Multiscale Framework
• The Analysis of Geodetic Boundary Value Problem: State and Perspectives
• Oblique Stochastic Boundary Value Problem
• About the Importance of the Runge-Walsh Concept for Gravitational Field Determination
• Geomathematical Advances in Satellite Gravity Gradiometry
• Parameter Choices for Fast Harmonic Spline Approximation
• Gravimetry as an Ill-Posed Problem in Mathematical Geodesy
• Gravimetry and Exploration
• On the Non-Uniqueness of Gravitational and Magnetic Field Data Inversion
• Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods
• Spherical Potential Theory: Tools and Applications
• A combination of Downward Continuation and Local Approximation for Harmonic Potentials
• Joint Inversion of Multiple Observation.