Harmonic Analysis of Signed Ruelle Transfer Operators

Details Harmonic Analysis of Signed Ruelle Transfer Operators Harmonic Analysis of Signed Ruelle Transfer Operators

2002-02-11

arxiv.org/abs/math/0202097v1

J. Math. Anal. Appl. 273 (2002), no. 2, 590--617

Mathematics

Operator Algebras

24 pages

Scientific paper

Motivated by wavelet analysis, we prove that there is a one-to-one correspondence between the following data: Solutions to $R(h)=h$ where $R$ is a certain non-positive Ruelle transfer operator; Operators that intertwine a certain class of representations of the $C^*$-algebra $\mathfrak{A}_N$ on two unitary generators $U$, $V$ subject to the relation $$UVU^{-1}=V^N$$ This correspondence enables us to give a criterion for the biorthogonality of a pair of scaling functions and calculate all solutions of the equation $R(h)=h$ in some concrete cases.

Affiliated with

Also associated with

No associations

Rating

Harmonic Analysis of Signed Ruelle Transfer Operators 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 Harmonic Analysis of Signed Ruelle Transfer Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic Analysis of Signed Ruelle Transfer Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593566