Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces

DOI10.1016/S0898-1221(97)00119-3zbMath0895.47012OpenAlexW2010958356MaRDI QIDQ1376713

Zdzislaw Suchanecki, Ioannis E. Antoniou, Oscar F. Bandtlow

Publication date: 21 January 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00119-3

zbMATH Keywords

Frobenius-Perron operatormeromorphic continuationchaotic mapsrigged Hilbert spaceFredholm-Riesz operatorRényi mapresonances of dynamical systemssingularities of the analytically continued resolvent

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (9)

The resonance spectrum of the cusp map in the space of analytic functions ⋮ Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces ⋮ Dynamic mode decomposition for analytic maps ⋮ Probabilistic extension and logic of complex unstable dynamical systems ⋮ Extended spectral decompositions of the Rényi map ⋮ Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map ⋮ Global stability and bifurcations of invariant measures for the discrete cocycles of the cardiac conduction system's equations ⋮ Spectral decomposition of piecewise linear monotonic maps. ⋮ Unnamed Item

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