Geodesic
Infinite-dimensional conic Steiner formula
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 105-119

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The classical Steiner formula expresses the volume of the neighborhood of a convex compact set in $\mathbb{R}^d$ as a polynomial in the radius of the neighborhood. In Tsirelson's work [16], this result was extended to the infinite-dimensional case. A spherical analogue of the Steiner formula for convex subsets of $\mathbb{S}^{d-1}$ is also well-known. The aim of this note is to obtain an infinite-dimensional version of this spherical analogue. 
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     title = {Infinite-dimensional conic {Steiner} formula},
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M. K. Dospolova; D. N. Zaporozhets. Infinite-dimensional conic Steiner formula. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 105-119. http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a7/