We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.
@article{urn:eudml:doc:41020,
title = {Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.},
journal = {Publicacions Matem\`atiques},
volume = {32},
year = {1988},
pages = {7-41},
zbl = {0659.32008},
mrnumber = {MR0939766},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41020}
}
Berndtsson, Bo. Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.. Publicacions Matemàtiques, Tome 32 (1988) pp. 7-41. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41020/