Radon transform on a space over a residue class ring
Journal Article
·
· Sbornik. Mathematics
- Tambov State University, Tambov (Russian Federation)
The functions on a space of dimension N over the residue class ring Z{sub n} modulo n that are invariant with respect to the group GL(N,Z{sub n}) form a commutative convolution algebra. We describe the structure of this algebra and find the eigenvectors and eigenvalues of the operators of multiplication by elements of this algebra. The results thus obtained are applied to solve the inverse problem for the hyperplane Radon transform on Z{sup N}{sub n}. Bibliography: 2 titles.
- OSTI ID:
- 21612764
- Journal Information:
- Sbornik. Mathematics, Vol. 203, Issue 5; Other Information: DOI: 10.1070/SM2012v203n05ABEH004240; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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