The α-Cosine Transform and Intertwining Integrals on Real Grassmannians

DOI10.1007/978-3-642-29849-3_1zbMath1264.22010OpenAlexW19196217MaRDI QIDQ4913008

Semyon Alesker

Publication date: 3 April 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-29849-3_1

zbMATH Keywords

perverse sheavesintertwining integrals\(\alpha\)-cosine transformmaximally degenerate principal series representations.

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homogeneous spaces (22F30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie and linear algebraic groups over local fields (22E50) Analysis on other specific Lie groups (43A80)

Related Items (7)

Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ On Radon transforms between lines and hyperplanes ⋮ Quasianalyticity, uncertainty, and integral transforms on higher Grassmannians ⋮ Irreducible representations of \(\mathrm{GL}_n (\mathbb{C})\) of minimal Gelfand-Kirillov dimension ⋮ The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\) ⋮ The \(\lambda \)-cosine transforms, differential operators, and Funk transforms on Stiefel and Grassmann manifolds ⋮ On an analytic description of the α-cosine transform on real Grassmannians

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