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2018 Invariant sets for QMF functions
Adam Jonsson
Rocky Mountain J. Math. 48(8): 2559-2571 (2018). DOI: 10.1216/RMJ-2018-48-8-2559

Abstract

A quadrature mirror filter (QMF) function can be considered as the transition function for a Markov process on the unit interval. The QMF functions that generate scaling functions for multiresolution analyses are then distinguished by properties of their invariant sets. By characterizing these sets, we answer in the affirmative a question raised by Gundy.

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Adam Jonsson. "Invariant sets for QMF functions." Rocky Mountain J. Math. 48 (8) 2559 - 2571, 2018. https://doi.org/10.1216/RMJ-2018-48-8-2559

Information

Published: 2018
First available in Project Euclid: 30 December 2018

zbMATH: 06999274
MathSciNet: MR3894993
Digital Object Identifier: 10.1216/RMJ-2018-48-8-2559

Subjects:
Primary: 37B10, 37C70, ‎42C40

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 8 • 2018
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