Boundary Values, Fourier-Sato Transform and Laplace Transform

Pierre Schapira

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

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