Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 55, No. 1, pp. 75-87 (1998)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



Boundary Values, Fourier-Sato Transform and Laplace Transform

Pierre Schapira

Institut de Mathématiques, Analyse Algébrique, Université Pierre et Marie Curie,
Case 247, 4, place Jussieu, F-75252 Paris Cedex 05 - FRANCE
E-mail: schapira@math.jussieu.fr

Abstract: In the first part of this paper we describe the well-known Fourier-Sato's transform of conic sheaves and we show how this theory permits to define the boundary value of holomorphic cohomology classes associated to conic sheaves and in particular cohomology classes supported by non necessarily convex cones. As an example, we treat the case of quadratic cones.
Next, we recall the recent result of [7] on the Laplace transform of holomorphic cohomology classes associated to constructible sheaves, and give a link between all these constructions.

Classification (MSC2000): 32L25, 58G37

Full text of the article:

Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.

© 1998 Sociedade Portuguesa de Matemática
© 1998–2007 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition