Abstract
In this paper, we mainly deal with two problems in integral geometry, the range characterizations and construction of inversion formulas for Radon transforms on higher rank Grassmann manifolds. The results will be described explicitly in terms of invariant differential operators. We will also study the harmonic analysis on Grassmann manifolds, using the method of integral geometry. In particular, we will give eigenvalue formulas and radial part formulas for invariant differential operators.
| Original language | English |
|---|---|
| Article number | jfan.1999.3459 |
| Pages (from-to) | 1-45 |
| Number of pages | 45 |
| Journal | Journal of Functional Analysis |
| Volume | 168 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1999 |
Keywords
- Eigenvalue formula
- Grassmann manifold
- Integral geometry
- Invariant differential operator
- Inversion formula
- Radial part
- Radon transform
- Range-characterization
ASJC Scopus subject areas
- Analysis