Titlebook: Handbook of Mathematical Geodesy; Functional Analytic Willi Freeden,M. Zuhair Nashed Book 2018 Springer International Publishing AG, part

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An Overview on Tools from Functional Analysis,nd regard the evaluation of such functions or their derivatives at given points as operators. In doing so, knowingly or unknowingly, they use the language of functional analysis..This contribution aims at summarizing some fundamental concepts from functional analysis which are used throughout this b

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Geodetic Observables and Their Mathematical Treatment in Multiscale Framework,orne gravimetry, satellite-to-satellite tracking, satellite gravity gradiometry, etc. The mathematical relation between these observables on the one hand and the gravitational field and the shape of the Earth on the other hand is called the .. In this paper, an integrated concept of physical geodesy

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The Analysis of the Geodetic Boundary Value Problem: State and Perspectives, of the problem is the determination of the shape of the Earth and of its gravity field. The analysis of such a problem, specially for its non-linear formulation, is hard, so it started only in 1976 with a paper by L. Hörmander [13]..Since then the research has continued for both the non-linear and

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,About the Importance of the Runge–Walsh Concept for Gravitational Field Determination,rth’s gravitational potential within arbitrary accuracy by a harmonic function showing a larger analyticity domain. On the other hand, there are some less transparent manifestations of the Runge–Walsh context in the geodetic literature that must be clarified in more detail. Indeed, some authors make

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