Invariant differential operators and the range of the matrix Radon transform

DOI10.1016/j.jfa.2006.04.008zbMath1112.44001OpenAlexW2042276080MaRDI QIDQ860801

Tomoyuki Kakehi, Fulton B. Gonzalez

Publication date: 9 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.008

zbMATH Keywords

Fourier transforminvariant differential operatorsrangeholomorphic functionsPfaffian systemweak Nullstellensatzmatrix Radon transformStiefel matrices

Mathematics Subject Classification ID

Radon transform (44A12) Holomorphic functions of several complex variables (32A10)

Related Items

Injectivity of the Heisenberg X-ray transform ⋮ Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ Functional Relations, Sharp Mapping Properties, and Regularization of the X-Ray Transform on Disks of Constant Curvature ⋮ The Lagrangian Radon transform and the Weil representation ⋮ Semyanistyi's integrals and Radon transforms on matrix spaces

Cites Work

• Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms
• Semyanistyi's integrals and Radon transforms on matrix spaces
• Pfaffian systems and Radon transforms on affine Grassmann manifolds
• Sur le théorème des zéros de Hilbert 'différentiable'
• Riesz potentials and integral geometry in the space of rectangular matrices
• Une remarque sur les ideaux de fonctions différentiables
• Real roots of polynomials and right inverses for partial differential operators in the space of tempered distributions
• On the Range of the Radon d-Plane Transform and Its Dual
• Paley-Wiener theorems for the matrix Radon transform
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item