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

Bo Berndtsson

Publicacions Matemàtiques (1988)

  • Volume: 32, Issue: 1, page 7-41
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Berndtsson, Bo. "Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.." Publicacions Matemàtiques 32.1 (1988): 7-41. <http://eudml.org/doc/41020>.

@article{Berndtsson1988,
abstract = {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.},
author = {Berndtsson, Bo},
journal = {Publicacions Matemàtiques},
keywords = {Formas diferenciales; Cohomología; integral formula; Radon transform; q-concave domain},
language = {eng},
number = {1},
pages = {7-41},
title = {Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.},
url = {http://eudml.org/doc/41020},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Berndtsson, Bo
TI - Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 1
SP - 7
EP - 41
AB - 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.
LA - eng
KW - Formas diferenciales; Cohomología; integral formula; Radon transform; q-concave domain
UR - http://eudml.org/doc/41020
ER -

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