Range theorems and inversion formulas for radon transforms on grassmann manifolds

Tomoyuki Kakehi

doi:10.3792/pjaa.73.89

Range theorems and inversion formulas for radon transforms on grassmann manifolds

Tomoyuki Kakehi

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this article, we state some results on the range characterization for Radon transforms on Grassmann manifolds and give the explicit inversion formulas.

Original language	English
Pages (from-to)	89-92
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	73
Issue number	5
DOIs	https://doi.org/10.3792/pjaa.73.89
Publication status	Published - 1997
Externally published	Yes

Keywords

Grassmann manifold
Integral geometry
Inversion formula
Radon transform
Range theorem

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.73.89

Cite this

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title = "Range theorems and inversion formulas for radon transforms on grassmann manifolds",

abstract = "In this article, we state some results on the range characterization for Radon transforms on Grassmann manifolds and give the explicit inversion formulas.",

keywords = "Grassmann manifold, Integral geometry, Inversion formula, Radon transform, Range theorem",

author = "Tomoyuki Kakehi",

year = "1997",

doi = "10.3792/pjaa.73.89",

language = "English",

volume = "73",

pages = "89--92",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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T1 - Range theorems and inversion formulas for radon transforms on grassmann manifolds

AU - Kakehi, Tomoyuki

PY - 1997

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AB - In this article, we state some results on the range characterization for Radon transforms on Grassmann manifolds and give the explicit inversion formulas.

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KW - Integral geometry

KW - Inversion formula

KW - Radon transform

KW - Range theorem

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JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

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Range theorems and inversion formulas for radon transforms on grassmann manifolds

Abstract

Keywords

ASJC Scopus subject areas

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