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Hamiltonian Perturbation Theory for Ultra-Differentiable Functions Other -
by Abed Bounemoura; Text by (Art/Photo Books) Jacques Faejoz
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- Title Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
- Author Abed Bounemoura; Text by (Art/Photo Books) Jacques Faejoz
- Binding Other
- Volumes 1
- Language ENG
- Publisher American Mathematical Society
- ISBN 9781470446918 / 147044691X
- Library of Congress subjects Hamiltonian systems
- Library of Congress Catalog Number 2022007700
- Dewey Decimal Code 515.39
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Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
by Abed Bounemoura
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- Paperback
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- Paperback
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- 9781470446918 / 147044691x
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Hamiltonian Perturbation Theory for Ultra-differentiable Functions
by Bounemoura, Abed/ Fejoz, Jacques
- New
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- New
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- Paperback
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- 9781470446918 / 147044691X
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Exeter, Devon, United Kingdom
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Amer Mathematical Society, 2021. Paperback. New. 89 pages.
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Hamiltonian Perturbation Theory for Ultra-differentiable Functions (Memoirs of the American Mathematical Society, 270)
by Bounemoura, Abed; Fejoz, Jacques
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- Paperback
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Kraków, Poland
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American Mathematical Society, 2021 8vo (25 cm), V, 89 pp. Laminated wrappers. "Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well-suited for solving non-linear functional equations by means of hard implicit function theorems. They comprise Gevrey functions and thus, as a limiting case, analytic functions. Using majorizing series, we manage to characterize them in terms of a real sequence M bounding the growth of derivatives. In this functional setting, we prove two fundamental results of Hamiltonian perturbation theory: the invariant torus theorem, where the invariant torus remains ultra-differentiable under the assumption that its frequency satisfies some arithmetic condition which we call BRM, and which generalizes the Bruno-R¨ussmann condition; and Nekhoroshev’s theorem, where the stability time depends on the ultra-differentiable class of the…
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