| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Research Abstract |
In this research, we study integral transforms of constructible functions, whose integral theory is based on the Euler characteristic. We proved that the images of topological Radon transforms on Grassmann manifolds satisfy a system of topological integral equations. Note that in the analytic case the images satisfy a system of partial differential equations.
We also prove an inversion formula for topological Radon transforms of definable functions, which are more general than constructible functions.
|
