Matches in SemOpenAlex for { <https://semopenalex.org/work/W2887940181> ?p ?o ?g. }
- W2887940181 abstract "We generalize the definition of convolution of vectors and tensors on the 2-sphere, and prove that it commutes with differential operators. Moreover, vectors and tensors that are normal/tangent to the spherical surface remain so after the convolution. These properties make the new filtering operation particularly useful to analyzing and modeling nonlinear dynamics in spherical systems, such as in geophysics, astrophysics, and in inertial confinement fusion applications. An essential tool we use is the theory of scalar, vector, and tensor spherical harmonics. We then show that our generalized filtering operation is equivalent to the (traditional) convolution of scalar fields of the Helmholtz decomposition of vectors and tensors." @default.
- W2887940181 created "2018-08-22" @default.
- W2887940181 creator A5087073319 @default.
- W2887940181 date "2019-01-22" @default.
- W2887940181 modified "2023-10-12" @default.
- W2887940181 title "Convolutions on the sphere: commutation with differential operators" @default.
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- W2887940181 doi "https://doi.org/10.1007/s13137-019-0123-9" @default.
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