TY - JOUR
T1 - Reconstructions from integrals over non-analytic manifolds
AU - Palamodov, Victor
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - The known integral transforms of Funk-Radon type are applied to manifolds which have algebraic structure (planes, spheres, ellipsoids, hyperboloids etc.). A variety of new exact reconstructions is described in this paper for integral transforms of Funk-Radon type on smooth hypersurfaces Xn properly embedded in space Rn+1 which is endowed with an additional structure.
AB - The known integral transforms of Funk-Radon type are applied to manifolds which have algebraic structure (planes, spheres, ellipsoids, hyperboloids etc.). A variety of new exact reconstructions is described in this paper for integral transforms of Funk-Radon type on smooth hypersurfaces Xn properly embedded in space Rn+1 which is endowed with an additional structure.
KW - Funk-Radon transform
KW - three-point condition
KW - vanishing singular integrals
UR - http://www.scopus.com/inward/record.url?scp=85097152832&partnerID=8YFLogxK
U2 - 10.1142/S0219199720500613
DO - 10.1142/S0219199720500613
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AN - SCOPUS:85097152832
SN - 0219-1997
VL - 23
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
IS - 7
M1 - 2050061
ER -