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- W3105373752 abstract "The goal of this paper is to describe the [Formula: see text]-cosine transform on functions on real Grassmannian [Formula: see text] in analytic terms as explicitly as possible. We show that for all but finitely many complex [Formula: see text] the [Formula: see text]-cosine transform is a composition of the [Formula: see text]-cosine transform with an explicitly written (though complicated) [Formula: see text]-invariant differential operator. For all exceptional values of [Formula: see text] except one, we interpret the [Formula: see text]-cosine transform explicitly as either the Radon transform or composition of two Radon transforms. Explicit interpretation of the transform corresponding to the last remaining value [Formula: see text], which is [Formula: see text], is still an open problem." @default.
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- W3105373752 date "2016-02-17" @default.
- W3105373752 modified "2023-10-16" @default.
- W3105373752 title "On an analytic description of the α-cosine transform on real Grassmannians" @default.
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- W3105373752 doi "https://doi.org/10.1142/s021919971550025x" @default.
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