On an analytic description of the α-cosine transform on real Grassmannians

DOI10.1142/S021919971550025XzbMath1335.22020arXiv1409.4882MaRDI QIDQ2796987

Siddhartha Sahi, Dmitry Gourevitch, Semyon Alesker

Publication date: 30 March 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4882

zbMATH Keywords

Radon transformGrassmann manifoldsrepresentation of Lie groupsintertwining integrals\(\alpha\)-cosine transform

Mathematics Subject Classification ID

Homogeneous spaces (22F30)

Related Items (4)

On Hodge-Riemann relations for translation-invariant valuations ⋮ On Radon transforms between lines and hyperplanes ⋮ A flag representation of projection functions ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds

Cites Work

• Centrally symmetric convex bodies and the spherical Radon transform
• Hard Lefschetz theorem for valuations, complex integral geometry, and unitarily invariant valuations.
• Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\)
• Radon, Cosine and Sine Transforms on Grassmannian Manifolds
• The α-Cosine Transform and Intertwining Integrals on Real Grassmannians
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