# Gegenbauer-Chebyshev Integrals and Radon Transforms

Seminar
Speaker
Prof. B. Rubin, Louisiana State University, Baton Rouge, USA
Date
04/05/2015 - 15:00 - 14:00Add to Calendar 2015-05-04 14:00:00 2015-05-04 15:00:00 Gegenbauer-Chebyshev Integrals and Radon Transforms The Radon transform $R$ assigns to a function $f$ on $R^n$  a collection  of integrals of that function over   hyperplanes in $R^n$. Suppose  that $Rf$ vanishes on  all hyperplanes that do not meet a fixed convex  set. {\it Does it follow that $f$ is zero in the exterior of that set?} I am planning to discuss new results related to this question and  the corresponding injectivity problems. If time allows, some   projectively equivalent modifications of $R$ will be considered. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract
The Radon transform $R$ assigns to a function $f$ on $R^n$  a collection
of integrals of that function over   hyperplanes in $R^n$. Suppose
that $Rf$ vanishes on  all hyperplanes that do not meet a fixed convex
set. {\it Does it follow that $f$ is zero in the exterior of that set?}
I am planning to discuss new results related to this question and  the
corresponding injectivity problems. If time allows, some   projectively
equivalent modifications of $R$ will be considered.

תאריך עדכון אחרון : 25/05/2015