Transversal multilinear Radon-like transforms: local and global estimates (Q373497)
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scientific article; zbMATH DE number 6216018
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transversal multilinear Radon-like transforms: local and global estimates |
scientific article; zbMATH DE number 6216018 |
Statements
Transversal multilinear Radon-like transforms: local and global estimates (English)
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17 October 2013
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A multilinear Radon-like transform that satisfies a strong transversality hypothesis is considered. Local estimates for the same are proved with a quantitative version of Theorem 1.2. Similarly, Theorem 1.3 is proved for the global estimates for the same class of transforms. Moreover, sharp multilinear convolution estimates on fully transversal submanifolds of a Euclidean space are obtained.
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diffraction tomography
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multilinear Radon-like transform
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transversality
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multilinear convolution estimate
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