Radon Transforms of Constructible Functions on Grassmann Manifolds | Zendy

Yutaka Matsui | Zendy

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Radon Transforms of Constructible Functions on Grassmann Manifolds

Author(s) -

Yutaka Matsui

Publication year - 2006

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1166642115

Subject(s) - radon , mathematics , radon transform , inversion (geology) , transformation (genetics) , pure mathematics , mathematical analysis , physics , geology , chemistry , paleontology , biochemistry , quantum mechanics , structural basin , gene

P. Schapira studied Radon transforms of constructible functions and obtained a formula related to an inversion formula. We generalize this formula to more complicated cases including Radon transformations between any Grassmann manifolds. In particular, we give an inversion formula for the Radon transformation and characterize images of Radon transforms of characteristic functions of Schubert cells.

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