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- W3147491110 abstract "It is known that there is a 1-1 correspondence between the first cohomology of the sheaf O(-k-2) over the projective space and the solutions to the k-Cauchy-Fueter equations on the quaternionic space Hn.We find an explicit Radon-Penrose type integral formula to realize this correspondence:given a -closed(0,1)form f with coefficients in the(-k-2)th power of the hyperplane section bundle H-k-2,there is an integral representation Pf such that ι*(Pf) is a solution to the k-Cauchy-Fueter equations,where ι is an embedding of the quaternionic space Hn into C4n." @default.
- W3147491110 created "2021-04-13" @default.
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- W3147491110 date "2012-01-01" @default.
- W3147491110 modified "2023-09-24" @default.
- W3147491110 title "On Radon-Penrose transformation and k-Cauchy-Fueter operator" @default.
- W3147491110 hasPublicationYear "2012" @default.
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