The Dependence of the Generalized Radon Transform on Defining Measures
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Publication:3924870
DOI10.2307/1998299zbMath0471.58022OpenAlexW4234889140MaRDI QIDQ3924870
Publication date: 1980
Full work available at URL: https://doi.org/10.2307/1998299
symbolFourier integral operatorselliptic pseudodifferential operatordependence of the generalized Radon transform on defining measuresRadon transform on points and hyperplanes in n-space
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators and other generalizations of partial differential operators (35S99)
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Cites Work
- Bestimmung einer Funktion aus ihren Integralen über gewisse Mannigfaltigkeiten
- The surjectivity of invariant differential operators on symmetric spaces. I
- Differential operators on homogeneous spaces
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- A duality for symmetric spaces with applications to group representations
- Fourier integral operators. I
- Uniform asymptotic expansions at a caustic
- Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry. I
- A duality in integral geometry; some generalizations of the Radon transform
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