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- W3204787436 abstract "We study the spherical slice transform [Formula: see text] which assigns to a function f on the unit sphere S n in [Formula: see text] the integrals of f over cross-sections of S n by k-dimensional affine planes passing through the north pole (0,…, 0, 1). These transforms are known when k = n. We consider all 2 ≤ k ≤ n and obtain an explicit formula connecting [Formula: see text] with the classical (k − 1)-plane Radon–John transform [Formula: see text] on [Formula: see text]. Using this connection, known facts for R k−1 , like inversion formulas, support theorems, representation on zonal functions, and some others, are reformulated for [Formula: see text]." @default.
- W3204787436 created "2021-10-11" @default.
- W3204787436 creator A5061571255 @default.
- W3204787436 date "2021-11-17" @default.
- W3204787436 modified "2023-10-18" @default.
- W3204787436 title "On the spherical slice transform" @default.
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- W3204787436 doi "https://doi.org/10.1142/s021953052150024x" @default.
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