Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$

Details Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$ Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$

2012-04-12

arxiv.org/abs/1204.2773v1

Mathematics

Functional Analysis

11 pages. arXiv admin note: text overlap with arXiv:1103.4571

Scientific paper

In this article, we prove that any pair of perpendicular planes is a set of injectivity for the twisted spherical means (TSM) for $L^p(\mathbb C^n) (n\geq2)$ with $1\leq p\leq2.$ Then, we imitate that any Coxeter system of even number of planes is a set of injectivity for the TSM for $L^p(\mathbb C^n).$ We further observe that a set $S_R^{2n-1}\times\mathbb C$ is a set of injectivity for the TSM for a ceratin class of functions on $\mathbb C^{n+1}.$

Affiliated with

Also associated with

No associations

Rating

Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$ 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 Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313056