Harmonic series in geodesy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43972498" target="_blank" >RIV/49777513:23520/24:43972498 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/referenceworkentry/10.1007/978-3-319-02370-0_61-1" target="_blank" >https://link.springer.com/referenceworkentry/10.1007/978-3-319-02370-0_61-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-02370-0_61-1" target="_blank" >10.1007/978-3-319-02370-0_61-1</a>

Result language
angličtina
Original language name
Harmonic series in geodesy
Original language description
A square-integrable function, defined on a surface that has a one-to-one correspondence with the unit sphere, may be represented as a linear combination of surface spherical harmonic functions. Numerical coefficients in this linear combination can be estimated by a process called harmonic analysis. In contrary, the function can be recovered at any point using the numerical coefficients and the harmonic series by a process called harmonic synthesis. Moreover, harmonic functions, by definition satisfying Laplace’s differential equation in the 3-D space, can be represented by a series of solid harmonic functions. Alternatively, considering the shape of the Earth and other bodies in space, ellipsoidal harmonic functions can be used for the same purpose. In geodesy, harmonic series plays an important role in representation of global functions and formulation of solutions to boundary-value problems of potential theory.
Czech name
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Czech description
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Project
<a href="/en/project/GA21-13713S" target="_blank" >GA21-13713S: Uncertainty estimates for integral transformations in geodesy</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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