The invertibility of rotation invariant Radon transforms
نویسندگان
چکیده
منابع مشابه
The lnvertibility of Rotation Invariant Radon Transforms
Let R, denote the Radon transform on R” that integrates a function over hyperplanes in given smooth positive measures p depending on the hyperplane. We characterize the measures ,u for which R, is rotation invariant. We prove rotation invariant transforms are all one-to-one and hence invertible on the domain of square integrable functions of compact support, Li(R”). We prove the hole theorem: i...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1983
ISSN: 0022-247X
DOI: 10.1016/0022-247x(83)90165-8