On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of ¯ -closed ( n , n - 1 ) -forms

Telemachos Hatziafratis[1]

  • [1] University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE

Annales mathématiques Blaise Pascal (2004)

  • Volume: 11, Issue: 1, page 41-46
  • ISSN: 1259-1734

Abstract

top
We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of ¯ -closed ( n , n - 1 ) -forms in the complement of a compact convex set in n .

How to cite

top

Hatziafratis, Telemachos. "On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms." Annales mathématiques Blaise Pascal 11.1 (2004): 41-46. <http://eudml.org/doc/10498>.

@article{Hatziafratis2004,
abstract = {We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of $\bar\{\partial \}$-closed $(n,n-1)$-forms in the complement of a compact convex set in $\mathbb\{C\}^n$.},
affiliation = {University of Athens Department of Mathematics Panepistemiopolis Athens 15784 GREECE},
author = {Hatziafratis, Telemachos},
journal = {Annales mathématiques Blaise Pascal},
keywords = {entire function; analytic functional},
language = {eng},
month = {1},
number = {1},
pages = {41-46},
publisher = {Annales mathématiques Blaise Pascal},
title = {On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar\{\partial \}$-closed $(n,n-1)$-forms},
url = {http://eudml.org/doc/10498},
volume = {11},
year = {2004},
}

TY - JOUR
AU - Hatziafratis, Telemachos
TI - On an integral formula of Berndtsson related to the inversion of the Fourier-Laplace transform of $\bar{\partial }$-closed $(n,n-1)$-forms
JO - Annales mathématiques Blaise Pascal
DA - 2004/1//
PB - Annales mathématiques Blaise Pascal
VL - 11
IS - 1
SP - 41
EP - 46
AB - We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of $\bar{\partial }$-closed $(n,n-1)$-forms in the complement of a compact convex set in $\mathbb{C}^n$.
LA - eng
KW - entire function; analytic functional
UR - http://eudml.org/doc/10498
ER -

References

top
  1. B. Berndtsson, Weighted integral formulas, Several Complex Variables (1993), 160-187, Princeton Univ. Press Zbl0786.32003MR1207859
  2. T. Hatziafratis, Note on the Fourier-Laplace transform of ¯ -cohomology classes, Zeitschrift für Analysis und ihre Anwendungen 17 (1998), 907-915 Zbl0924.43004MR1669921

NotesEmbed ?

top

You must be logged in to post comments.