The Laplace Transform of Holomorphic Cohomology Classes at at Innnity
نویسنده
چکیده
Given a nite dimensional complex vector space V let D(V) denote the Weyl algebra of V. Kashiwara and Schapira ((KS96b]) constructed the conic sheaf O t V of holomorphic functions temperate at innnity and proved its invariance by the Laplace transform of D(V)-modules. Here we develop a similar program for the \dual" complex O w V of holomorphic functions rapidly decreasing at innnity.
منابع مشابه
D-bar Spark Theory and Deligne Cohomology
We study the Harvey-Lawson spark characters of level p on complex manifolds. Presenting Deligne cohomology classes by sparks of level p, we give an explicit analytic product formula for Deligne cohomology. We also define refined Chern classes in Deligne cohomology for holomorphic vector bundles over complex manifolds. Applications to algebraic cycles are given. A Bott-type vanishing theorem in ...
متن کاملAutoconvolution equations and generalized Mittag-Leffler functions
This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of ...
متن کاملFourier-laplace Transform of Irreducible Regular Differential Systems on the Riemann Sphere
We show that the Fourier-Laplace transform of an irreducible regular differential system on the Riemann sphere underlies, when one only considers the part at finite distance, a polarizable regular twistor D-module. The associated holomorphic bundle out of the origin is therefore equipped with a natural harmonic metric with a tame behaviour near the origin.
متن کاملLaplace transform and unitary highest weight modules
The unitarizable modules in the analytic continuation of the holomorphic discrete series for tube type domains are realized as Hilbert spaces obtained through the Laplace transform.
متن کاملConformal Structures of Surfaces ∗
This paper solves the problem of computing conformal structures of general 2manifolds represented as triangular meshes. We approximate the De Rham cohomology by simplicial cohomology and represent the Laplace-Beltrami operator, the Hodge star operator by linear systems. A basis of holomorphic one-forms is constructed explicitly. We then obtain a period matrix by integrating holomorphic differen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999