The Capelli Identity and Radon Transform for Grassmannians
Artikel i vetenskaplig tidskrift, 2017

We study a family C-s,C-l of Capelli-type invariant differential operators on the space of rectangular matrices over a real division algebra. The C-s,C-l descend to invariant differential operators on the corresponding Grassmannian, which is a compact symmetric space, and we determine the image of the C-s,C-l under the Harish-Chandra homomorphism. We also obtain analogous results for corresponding operators on the non-compact duals of the Grassmannians, and for line bundles. As an application we obtain a Radon inversion formula, which generalizes a recent result of B. Rubin for real Grassmannians.

Författare

S. Sahi

Genkai Zhang

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

International Mathematics Research Notices

1073-7928 (ISSN) 1687-0247 (eISSN)

12 3774-3800

Ämneskategorier

Matematik

DOI

10.1093/imrn/rnw120

Mer information

Skapat

2017-10-07