Association between temperate distributions and analytical functions in the context of wave-front sets

Details Association between temperate distributions and analytical functions in the context of wave-front sets Association between temperate distributions and analytical functions in the context of wave-front sets

2010-03-05

arxiv.org/abs/1003.1281v1

Mathematics

Functional Analysis

22 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Association between temperate distributions and analytical functions in the context of wave-front sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Association between temperate distributions and analytical functions in the context of wave-front sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Association between temperate distributions and analytical functions in the context of wave-front sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687757