INTEGRAL FORMULAS ON PROJECTIVE SPACE AND THE RADON TRANSFORM OF GINDIKIN-HENKIN-POLYAKOV

INTEGRAL FORMULAS ON PROJECTIVE SPACE AND THE RADON TRANSFORM OF GINDIKIN-HENKIN-POLYAKOV

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-...

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Veröffentlicht in:Publicacions matemàtiques 1988-01, Vol.32 (1), p.7-41
1. Verfasser: Berndtsson, Bo
Format: Artikel
Sprache:eng
Schlagworte:
Abstract spaces
Coefficients
Cohomología
Coordinate systems
Curvature
Degrees of polynomials
Formas diferenciales
Hyperplanes
Integrands
Mathematical vectors
Polynomials
Radon
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Zusammenfassung: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.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_32188_01