Association between temperate distributions and analytical functions in the context of wave-front sets
Functional Analysis
2010-03-08 v1
Abstract
Let B be a translation invariant Banach function space (BF-space). In this paper we prove that every temperate distribution f can be associated with a function F analytic in the convex tube Omega={z in C^d; |Im z|<1} such that the wave-front set of f of Fourier BF-space types in intersection with R^d \times S^{d-1} consists of the points (x,\xi) such that F does not belong to the Fourier BF-space at x-i\xi.
Keywords
Cite
@article{arxiv.1003.1281,
title = {Association between temperate distributions and analytical functions in the context of wave-front sets},
author = {Karoline Johansson},
journal= {arXiv preprint arXiv:1003.1281},
year = {2010}
}
Comments
22 pages