The Penrose transform and Clifford analysis

Bureš, J. ; Souček, V.

Proceedings of the Winter School "Geometry and Physics", GDML_Books, (1991), p. [97]-104 / Harvested from

Résumé

[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 F. Brackx, R. Delanghe and F. Sommen: 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 and the Leray residue for closed differential forms).

MR MR1151894 | Zbl 0753.58033

EUDML-ID : urn:eudml:doc:219923
Mots clés:

@article{701482,
     title = {The Penrose transform and Clifford analysis},
     booktitle = {Proceedings of the Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {1991},
     pages = {[97]-104},
     mrnumber = {MR1151894},
     zbl = {0753.58033},
     url = {http://dml.mathdoc.fr/item/701482}
}

Bureš, J.; Souček, V. The Penrose transform and Clifford analysis, dans Proceedings of the Winter School "Geometry and Physics", GDML_Books,  (1991), pp. [97]-104. http://gdmltest.u-ga.fr/item/701482/