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

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发表于 2025-3-21 19:52:16 | 显示全部楼层 |阅读模式
书目名称Handbook of Mathematical Geodesy
副标题Functional Analytic
编辑Willi Freeden,M. Zuhair Nashed
视频video
概述Shows how modern mathematics acts as a key technology in today’s geodesy.Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation.Comprises
丛书名称Geosystems Mathematics
图书封面Titlebook: Handbook of Mathematical Geodesy; Functional Analytic  Willi Freeden,M. Zuhair Nashed Book 2018 Springer International Publishing AG, part
描述.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 approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.. . . .
出版日期Book 2018
关键词constructive approximation; determination of the shape of the Earth; gravitational field determination
版次1
doihttps://doi.org/10.1007/978-3-319-57181-2
isbn_softcover978-3-030-09622-9
isbn_ebook978-3-319-57181-2Series ISSN 2510-1544 Series E-ISSN 2510-1552
issn_series 2510-1544
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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arf an Sozialinvestitionen, die Förderung von Erziehung und Ausbildung, Wirkungen des Ausbaus der sog. Umverteilung der Einkommen, die abnehmende Bedeutung und Ersetzung des Eigentums, die Politik der sozialpolitischen Organisationen und Aufgaben, welche mit der internationalen Sozialpolitik verbund
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,About the Importance of the Runge–Walsh Concept for Gravitational Field Determination,cal justification become transparent and coincident. Even more, the Runge–Walsh concept in form of generalized Fourier expansions corresponding to certain harmonic trial functions (e.g., mono- and/or multi-poles) will be extended to the topology of Sobolev-like reproducing kernel Hilbert spaces ther
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Geomathematical Advances in Satellite Gravity Gradiometry (SGG),wn tensorial measurements . (i.e., gradiometer data) and the gravitational potential . on the Earth’s surface is expressed by a linear integral equation of the first kind. This operator equation is discussed in the framework of pseudodifferential operators as an invertible mapping between Sobolev sp
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Inverse Gravimetry as an Ill-Posed Problem in Mathematical Geodesy,l equation such as Haar-type solutions are proposed in a multiscale framework to decorrelate specific geological signal signatures with respect to inherently available features. Reproducing kernel Hilbert space regularization techniques are studied (together with their transition to mollified varian
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