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The Capelli Identity and Radon Transform for Grassmannians

S. Sahi ; Genkai Zhang (Institutionen för matematiska vetenskaper, Analys och sannolikhetsteori)
INTERNATIONAL MATHEMATICS RESEARCH NOTICES (1073-7928). 12, p. 3774-3800. (2017)
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2017-08-11. Senast ändrad 2017-08-11.
CPL Pubid: 251068

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, Analys och sannolikhetsteoriInstitutionen för matematiska vetenskaper, Analys och sannolikhetsteori (GU)

Ämnesområden

Matematik

Chalmers infrastruktur