The time operator of the cusp map
type: Item
instance of: scholarly article
title: The time operator of the cusp map
zbMATH Open document ID: 1035.37003
DOI: 10.1016/S0960-0779(00)00170-3
published in: Chaos, Solitons and Fractals
publication date: 2003-03-19T00:00:00Z
review text: Time operators were studied by the author for wavelets which are age eigenfunctions shifted by dilations and for unilateral shifts arising from the Koopman operator of exact dynamical systems. The cusp map is defined from \([-1, 1]\) to \([-1, 1]\) as \(F(x) = 1 -\sqrt{| x| }.\) In this paper, the author constructs a time operator and age eigenfunctions for the cusp map.
reviewed by: Idris Assani
Mathematics Subject Classification ID: 37A30
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 1884657
zbMATH Keywords: time operator
zbMATH Keywords: cusp map
zbMATH Keywords: age eigenfunctions
author: I. Antoniou
MaRDI profile type: Publication
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full work available at URL: s0960-0779(00)00170-3
OpenAlex ID: W1982825710
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description: scientific article; zbMATH DE number 1884657