Year: 2023
Type: preprint
Abstract: We prove a local support theorem for the exponential Radon transform for functions of exponential decay at infinity. We also show that our decay condition is essentially sharp for the classical Radon transform for hyperbolic type domains as holes, by showing streched exponential counterexamples. This shows a difference of the support theorems for compact domains, where the decay has to be just faster than any polynomial. Also, gives a refinement for non-compact domains, where support theorem was proved only for functions with compact support. Our method is a version of R. S. Strichartz and J. Boman.
Source: arXiv (Cornell University)
Authors: Dinnyés, Enikő, Ódor, Tibor
Institutions: Eötvös Loránd University, University of Szeged
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4386501302