Displaying similar documents to “The Penrose transform for Dirac equation”

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...