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- W2008317408 abstract "We review some basic facts about the λ-cosine transforms with odd kernel on the unit sphere S n−1 in ℝ n . These transforms are represented by the spherical fractional integrals arising as a result of evaluation of the Fourier transform of homogeneous functions. The related topic is the hemispherical transform which assigns to every finite Borel measure on S n−1 its values for all hemispheres. We revisit the known facts about this transform and obtain new results. In particular, we show that the classical Funk- Radon-Helgason inversion method of spherical means is applicable to the hemispherical transform of L p -functions." @default.
- W2008317408 created "2016-06-24" @default.
- W2008317408 creator A5061571255 @default.
- W2008317408 date "2014-06-26" @default.
- W2008317408 modified "2023-10-16" @default.
- W2008317408 title "The λ-cosine transforms with odd kernel and the hemispherical transform" @default.
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- W2008317408 doi "https://doi.org/10.2478/s13540-014-0198-9" @default.
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