The Radon transform on Abelian Groups
نویسندگان
چکیده
منابع مشابه
The Radon transform on Abelian Groups
The Radon transform on a group A is a linear operator on the space of functions /: A-+ C. It is shown that if A = Z;: then the Radon transform with respect to a subset B c .4 is not invertible if and only if B has the same number of elements in every coset of some maximal subgroup of A. The same does not hold in general for arbitrary finite abelian groups. ' IW7 ACxhlK I%\\. 1°C Let A be a fini...
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where S + x denotes the setf-s + x i s e S ) . Thus, the Radon transform can be thought of as a way of replacing/by a "smeared out" version of /. This form of the transform represents a simplified model of the kind of averaging which occurs in certain applied settings, such as various types of tomography and recent statistical averaging techniques. A fundamental question which arises in connect...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1987
ISSN: 0097-3165
DOI: 10.1016/0097-3165(87)90071-9