Displaying similar documents to “Integral transforms for divisors in ℙ n ( ℂ ) and solutions of systems of PDE’s”

The Penrose transform and Clifford analysis

Bureš, J., Souček, V.

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[For the entire collection see Zbl 0742.00067.]The Penrose transform is always based on a diagram of homogeneous spaces. Here the case corresponding to the orthogonal group S O ( 2 n , C ) is studied by means of Clifford analysis [see and : Clifford analysis (1982; Zbl 0529.30001)], and is presented a simple approach using the Dolbeault realization of the corresponding cohomology groups and a simple calculus with differential forms (the Cauchy integral formula for solutions of the Laplace equation...

Complex methods in real integral geometry

Eastwood, Michael

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This is an exposition of a general machinery developed by M. G. Eastwood, T. N. Bailey, C. R. Graham which analyses some real integral transforms using complex methods. The machinery deals with double fibrations M ⊂ Ω → η ← Ω ˜ @ > τ > > X ( Ω complex manifold; M totally real, real-analytic submanifold; Ω ˜ real blow-up of Ω along M ; X smooth manifold; τ submersion with complex fibers of complex dimension one). The first result relates through an exact sequence the space of sections of a holomorphic...