We study the Radon transform R on the discrete Grassmannian of rank-d affine sublattices of Z^n for 0 < d < n. Various natural questions are treated, such as the definition and properties of R and its dual transform R^*, function space setting, support theorems and inversion formulas.
Integral geometry on discrete Grassmannians in Z^n / Abouelaz, A; CASADIO TARABUSI, Enrico; Ihsane, A.. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 6:(2009), pp. 303-316. [10.1007/s00009-009-0010-y]
Integral geometry on discrete Grassmannians in Z^n
CASADIO TARABUSI, Enrico;
2009
Abstract
We study the Radon transform R on the discrete Grassmannian of rank-d affine sublattices of Z^n for 0 < d < n. Various natural questions are treated, such as the definition and properties of R and its dual transform R^*, function space setting, support theorems and inversion formulas.File allegati a questo prodotto
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