TY - JOUR
T1 - Reconstruction from line integrals in spaces of constant curvature
AU - Palamodov, Victor P.
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
KW - Duality
KW - Factorization property
KW - Pencil of lines
KW - k-plane integral transform
UR - http://www.scopus.com/inward/record.url?scp=0032413750&partnerID=8YFLogxK
U2 - 10.1002/mana.19981960108
DO - 10.1002/mana.19981960108
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AN - SCOPUS:0032413750
SN - 0025-584X
VL - 196
SP - 167
EP - 188
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
ER -