IRREDUCIBLE WAVELET REPRESENTATIONS AND ERGODIC AUTOMORPHISMS ON SOLENOIDS
Abbreviated Journal Title
Representation; ergodic automorphism; Cantor set; Ruelle operator; solenoid; refinable function; LOW-PASS FILTERS; MULTIRESOLUTION ANALYSES; CONSTRUCTION; MARTINGALES; FRACTALS; Mathematics
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 , and we present several equivalent formulations of the problem.
Operators and Matrices
"IRREDUCIBLE WAVELET REPRESENTATIONS AND ERGODIC AUTOMORPHISMS ON SOLENOIDS" (2011). Faculty Bibliography 2010s. 1271.