𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Invariant differential operators on Grassmann manifolds

✍ Scribed by F Gonzalez; S Helgason


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
433 KB
Volume
60
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.

✦ Synopsis


Nofe udded in proof:

Another proof of Lemma 4.1 was indicated to us by M. Ra'is.


πŸ“œ SIMILAR VOLUMES


Integral Geometry on Grassmann Manifolds
✍ Tomoyuki Kakehi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 320 KB

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

Stochastic Analysis on Product Manifolds
✍ Sergio Albeverio; Alexei Daletskii; Yuri Kondratiev πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 263 KB

We define a de Rham complex over a product manifold (infinite product of compact manifolds), and Dirichlet operators on differential forms, associated with differentiable measures (in particular, Gibbs measures), which generalize the notions of Bochner and de Rham Laplacians. We give probabilistic r

Homoclinic Orbits on Invariant Manifolds
✍ Weinian Zhang; Jiongyu Wu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 146 KB

Following the existence of generalized exponential dichotomies and corresponding invariant manifolds for functional differential equations, the homoclinic solution of a delay equation studied by Lin (1986, J. Differential Equations 63, 227 254) proved to be reducible to a finite dimensional one.