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Handbook of mathematical geodesy: functional analytic and potential theoretic methods

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Author(s): Freeden, W.; Nashed, M. Zuhair (eds.)
Series: Geosystems Mathematics
Publisher: Birkhàˆuser
Year: 2018

Language: English
Pages: 932
Tags: Geodesy -- Mathematics.;SCIENCE -- Earth Sciences -- Geography.;TECHNOLOGY & ENGINEERING -- Cartography.;Mathematics.;Abstract Harmonic Analysis.;Geophysics/Geodesy.;Partial Differential Equations.

Content: 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.