Event № 2235
Event № 2235
Type: Lecture
Name: ANALYSIS SEMINAR
Title: Radon Transforms over Horospheres in Real Hyperbolic Space
Speaker: Prof. Boris Rubin
Place:
2nd floor Colloquium Room, Building 216 , Bar Ilan University
Abstract:
The horospherical Radon transform integrates functions on the n-dimensionalThe 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.
SubmittedBy:
Elijah Liflyand , liflyand@gmail.com
EventLink: Event № 2235