Harmonic Analysis of Signed Ruelle Transfer Operators
| dc.creator | Dutkay, Dorin Ervin | |
| dc.date | 2002-02-11 | |
| dc.date.accessioned | 2026-07-07T08:38:11Z | |
| dc.date.available | 2026-07-07T08:38:11Z | |
| dc.description | 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. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0202097 | |
| dc.identifier | http://arxiv.org/abs/math/0202097 | |
| dc.identifier | J. Math. Anal. Appl. 273 (2002), no. 2, 590--617 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140634 | |
| dc.subject | Operator Algebras | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42C40; 47C15 | |
| dc.title | Harmonic Analysis of Signed Ruelle Transfer Operators | |
| dc.type | text |