Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms

DOI10.1007/BF02386119zbMath0704.17006MaRDI QIDQ916761

Fulton B. Gonzalez

Publication date: 1988

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Radon transformcenteruniversal enveloping algebraPoincaré groupalgebra of bi-invariant differential operators

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Lie algebras of linear algebraic groups (17B45)

Related Items (7)

Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds ⋮ Dual Radon transforms on affine Grassmann manifolds ⋮ Invariant differential operators and the range of the matrix Radon transform ⋮ Radon transforms on Grassmann manifolds ⋮ Invariant differential operators and the range of the Radon d-plane transform ⋮ Families of symmetries and the hydrogen atom ⋮ Strichartz's Radon transforms for mutually orthogonal affine planes and fractional integrals

Cites Work

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• Radon transforms on Grassmann manifolds
• The Radon transform
• Invariant differential operators on Grassmann manifolds
• Differential operators on homogeneous spaces
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• On representations of Lie algebras
• The Characters of Semisimple Lie Groups
• Harmonic Analysis on Grassmannian Bundles
• Invariant Polynomials on Lie Algebras of Inhomogeneous Unitary and Special Orthogonal Groups

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