שלחו לחבר

Radon Transforms over Horospheres in Real Hyperbolic Space

Seminar
Speaker
Prof. Boris Rubin, Louisiana State University, USA
Date
10/12/2018 - 15:00 - 14:00
Place
2nd floor Colloquium Room, Building 216
Abstract

The horospherical Radon transform integrates functions on the n-dimensional real
hyperbolic space over d-dimensional horospheres, where d is a fixed integer, $1\le d\le n-1$.
Using the tools of real analysis, we obtain sharp existence conditions and explicit inversion
formulas for these transforms acting on smooth functions and functions belonging to $L^p$. The
case d = n-1 agrees with the classical Gelfand-Graev transform which was studied before in
terms of the distribution theory on rapidly decreasing smooth functions. The results for
$L^p$-functions and the case d < n-1 are new. This is a joint work with William O. Bray.

תאריך עדכון אחרון : 09/12/2018