Irreducible wavelet representations and ergodic automorphisms on solenoids Academic Article uri icon

abstract

  • 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.

published proceedings

  • Operators and Matrices

author list (cited authors)

  • Dutkay, D. E., Larson, D. R., & Silvestrov, S.

citation count

  • 5

complete list of authors

  • Dutkay, Dorin Ervin||Larson, David R||Silvestrov, Sergei

publication date

  • January 2011