Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov

Autores: Bo Berndtsson
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 1, 1988, págs. 7-41
Idioma: inglés
DOI: 10.5565/publmat_32188_01
Títulos paralelos:
- Fórmulas integrales sobre un espacio proyectivo y la transformación de radón de Gindikin-Henkin-Polyakov
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Resumen
- 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.