Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps by Viviane Baladi

Author:Viviane Baladi
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

4.3.1 The Paley–Littlewood description of the spaces and the local Lasota–Yorke lemma

Recall the function from (2.​65), the dyadic decomposition given by functions for from (2.​66), and the properties (2.​69), (2.​71), (2.​72), and (2.​87) of the . Fix a cone system as in Definition 4.10. For , we define

(4.25)

The functions enjoy the analogues of properties (2.​67), (2.​68), (2.​69), and (2.​72), (2.​79) for the functions , in particular the -norm of the rapidly decaying function (recall (2.​13) for the definition of the inverse Fourier transform) is bounded uniformly in ,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.