Rigged Hilbert spaces for chaotic dynamical systems

Journal Article · Fri Nov 01 00:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531703· OSTI ID:388208

Suchanecki, Z ^[1]; Antoniou, I ^[1]; Tasaki, S ^[2]; Bandtlow, O F ^[1]

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1. International Solvay Institutes for Physics and Chemistry, CP 231, Campus Plaine ULB, Bd. du Triomphe, 1050 Brussels (Belgium)
2. International Solvay Institutes for Physics and Chemistry, CP 231, Campus Plaine ULB, Bd. du Triomphe, 1050 Brussels, Belgium and

We consider the problem of rigging for the Koopman operators of the Renyi and the baker maps. We show that the rigged Hilbert space for the Renyi maps has some of the properties of a strict inductive limit and give a detailed description of the rigged Hilbert space for the baker maps. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 388208
• Journal Information: Journal of Mathematical Physics, Vol. 37, Issue 11; Other Information: PBD: Nov 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DYNAMICS
HILBERT SPACE
FUNCTIONAL ANALYSIS
EIGENVECTORS
ANALYTIC FUNCTIONS
TOPOLOGY
DYNAMICAL SYSTEMS
CHAOTIC SYSTEMS