Reconstruction from Line Integrals in Spaces of Constant Curvature | Zendy

Palamodov Victor P. | Zendy

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Reconstruction from Line Integrals in Spaces of Constant Curvature

Author(s) -

Palamodov Victor P.

Publication year - 1998

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19981960108

Subject(s) - mathematics , constant curvature , line integral , geodesic , mathematical analysis , curvature , constant (computer programming) , transformation (genetics) , line (geometry) , euclidean space , real line , pure mathematics , euclidean geometry , geometry , integral equation , biochemistry , chemistry , computer science , gene , programming language

New reconstruction formula for the line integral transformation in Euclidean spaces is found. The general k ‐plane integral transform in Euclidean space is related to a totally geodesic integral transform for an arbitrary Riemannian space of constant curvature by means of a factorization property. Duality theorems for the totally geodesic transforms are stated.

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