Abstract
The invariant density function we have been studying can be viewed as an eigenfunction associated with the eigenvalue 1 of the Frobenius-Perron operator. In this chapter we will study the complete set of eigenfunctions of the Frobenius-Perron operator. To do this we will need an important result from functional analysis ([Ionescu-Tulcea and Marinescu, 1950]).
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© 1997 Springer Science+Business Media New York
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Boyarsky, A., Góra, P. (1997). Spectral Decomposition of the Frobenius-Perron Operator. In: Laws of Chaos. Probability and Its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2024-4_7
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DOI: https://doi.org/10.1007/978-1-4612-2024-4_7
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7386-8
Online ISBN: 978-1-4612-2024-4
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