Topological convolution algebras

Details Topological convolution algebras Topological convolution algebras

2012-04-24

arxiv.org/abs/1204.5277v1

Mathematics

Functional Analysis

Scientific paper

In this paper we introduce a new family of topological convolution algebras of the form $\bigcup_{p\in\mathbb N} L_2(S,\mu_p)$, where $S$ is a Borel semi-group in a locally compact group $G$, which carries an inequality of the type $\|f*g\|_p\le A_{p,q}\|f\|_q\|g\|_p$ for $p > q+d$ where $d$ pre-assigned, and $A_{p,q}$ is a constant. We give a sufficient condition on the measures $\mu_p$ for such an inequality to hold. We study the functional calculus and the spectrum of the elements of these algebras, and present two examples, one in the setting of non commutative stochastic distributions, and the other related to Dirichlet series.

Affiliated with

Also associated with

No associations

Rating

Topological convolution algebras 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 Topological convolution algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological convolution algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519215