Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 17 (2022), 29 -- 78

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RESULTS IN ESTIMATES FOR k-PLANE TRANSFORMS

Shuichi Sato

Abstract. This is an expository paper. We give proofs of some results of M. Christ (1984) and S. W. Drury (1984) related to k-plane transforms. Also, we give proofs for some results on interpolation appearing in estimating k-plane transforms.

2020 Mathematics Subject Classification: 42-02; 14M15.
Keywords: X-ray transforms; Radon transforms; k-plane transforms; Grassmannian manifolds; multilinear interpolation.

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Shuichi Sato
Department of Mathematics, Faculty of Education,
Kanazawa University, Kanazawa 920-1192, Japan.
e-mail: shuichi@kenroku.kanazawa-u.ac.jp, shuichipm@gmail.com

http://www.utgjiu.ro/math/sma