Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Baker Board Room |
Abstract:
The local injectivity problem for a weighted plane Radon transform can be formulated as follows. Let there be given a smooth, positive function $m(x, \xi, \eta)$ defined in a neighborhood of the origin in $\bold R3$. We want to know if it is true that \begin{align*} & f(x, y) = 0 \quad \textrm{for $y < x2$ \quad and} \\ \int f(x, \xi x + \eta) & m(x, \xi, \eta) dx = 0 \quad \textrm{for $(\xi, \eta)$ in some neighborhood of the origin} \end{align*} implies f(x,y)=0in some neighborhood of the origin.
I will discuss some old and new results on this problem as well as related
results for the corresponding global problem.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification