Document Type
Article
Publication Date
1-1-2019
Abstract
We study horospherical Radon transforms that integrate functions on the n-dimensional real hyperbolic space over horospheres of arbitrary fixed dimension 1 ≤ d ≤ n-1. Exact existence conditions and new explicit inversion formulas are obtained for these transforms acting on smooth functions and functions belonging to Lp. The case d = n 1 agrees with the well-known Gelfand-Graev transform.
Publication Source (Journal or Book title)
Transactions of the American Mathematical Society
First Page
1091
Last Page
1112
Recommended Citation
Bray, W., & Rubin, B. (2019). Radon transforms over lower-dimensional horospheres in real hyperbolic space. Transactions of the American Mathematical Society, 372 (2), 1091-1112. https://doi.org/10.1090/tran/7666
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