| Title | Irreducible Wavelet Representations and Ergodic Automorphisms on Solenoids |
| Authors | Dorin Ervin Dutkay, David R. Larson, Sergei Silvestrov |
| Publication | Operators and Matrices |
| Year | 2011 |
| Volume | 5 |
| Issue | 2 |
| Pages | 201 - 219 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Element |
| Abstract English | We focus on the irreducibility of wavelet representations. We present some connections between the following notions: covariant wavelet representations, ergodic shifts on solenoids, fixed points of transfer (Ruelle) operators and solutions of refinement equations. We investigate the irreducibility of the wavelet representations, in particular the representation associated to the Cantor set, introduced in 13, and we present several equivalent formulations of the problem. |
| Keywords | Representation, ergodic automorphism, Cantor set, Ruelle operator, solenoid, refinable function, |
| ISBN/ISSN/Other | ISSN: 1846-3886 |
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