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- W2081287923 abstract "This paper is an updated version of our former article (Sommen, F., 1998, Curved Radon transforms in Clifford analysis. In: Clifford Algebras and their Applications in Mathematical Physics, Fund. Theories Phys., Vol. 94 (Dordrecht: Kluwer Academic Publishers), pp. 369–381). First of all, we study weighted integrals of functions over general surfaces of higher codimension whereby the weights take values in a Clifford algebra. We also introduce and study multi-linear Grassmann and Clifford algebras and apply them to the multi-linear Radon transform. In cases of symmetric multi-linear functions (homogeneous polynomials), we obtain a Clifford analysis generalization of the generalized Radon transform investigated by V.P. Palamodov (Palamodov, V.P., 1994, Radon transformation on real algebraic varieties. In: Gindikin, S. and Michor, P. (Eds) 75 Years of Radon Transform, Lecture Notes in Mathematical Physics, Vol. IV (Boston: International Press), pp. 252–262)." @default.
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- W2081287923 date "2006-05-01" @default.
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- W2081287923 title "Curved Radon transforms and factorization of the Veronese equations in Clifford analysis" @default.
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- W2081287923 doi "https://doi.org/10.1080/17476930500482556" @default.
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