A Carleson type theorem for a Cantor group model of the scattering transform

Details A Carleson type theorem for a Cantor group model of the scattering transform A Carleson type theorem for a Cantor group model of the scattering transform

2002-05-13

arxiv.org/abs/math/0205139v1

Mathematics

Classical Analysis and ODEs

31 pages, 2 pictures, submitted, Nonlinearity

Scientific paper

10.1088/0951-7715/16/1/314

We consider a basic $d$-adic model for the scattering transform on the line. We prove $L^2$ bounds for this scattering transform and a weak $L^2$ bound for a Carleson type maximal operator. The latter implies boundedness of $d$-adic models of generalized eigenfunctions of Dirac type operators with potential in $L^2(R)$. We show that this result cannot be obtained by estimating the terms in the natural multilinear expansion of the scattering transform.

Affiliated with

Also associated with

No associations

Rating

A Carleson type theorem for a Cantor group model of the scattering transform 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 A Carleson type theorem for a Cantor group model of the scattering transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Carleson type theorem for a Cantor group model of the scattering transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652537