Note on the Fourier-Laplace Transform of -Cohomology Classes

  • T. Hatziafratis

    University of Athens, Greece

Abstract

We construct the inverse of the Fourier-Laplace transform of -cohomology classes (of -forms) in the complement of a convex compact set in , thus giving an analogue of the Borel transform (and its Polya representation) of entire functions of exponential type in several variables. The construction is based on a formula of Berndtsson.

Cite this article

T. Hatziafratis, Note on the Fourier-Laplace Transform of -Cohomology Classes. Z. Anal. Anwend. 17 (1998), no. 4, pp. 907–915

DOI 10.4171/ZAA/858