Spectral Theory and Analytic Geometry over Non-Archimedean Fields, Vladimir G. Berkovich

Автор: Robert L. Benedetto
Название: Dynamics in One Non-Archimedean Variable
ISBN: 147044688X ISBN-13(EAN): 9781470446888
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: The theory of complex dynamics in one variable, initiated by Fatou and Julia in the early twentieth century, concerns the iteration of a rational function acting on the Riemann sphere. Building on foundational investigations of $p$-adic dynamics in the late twentieth century, dynamics in one non-archimedean variable is the analogous theory over non-archimedean fields rather than over the complex numbers. It is also an essential component of the number-theoretic study of arithmetic dynamics.This textbook presents the fundamentals of non-archimedean dynamics, including a unified exposition of Rivera-Letelier's classification theorem, as well as results on wandering domains, repelling periodic points, and equilibrium measures. The Berkovich projective line, which is the appropriate setting for the associated Fatou and Julia sets, is developed from the ground up, as are relevant results in non-archimedean analysis. The presentation is accessible to graduate students with only first-year courses in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the $p$-adic numbers, is recommended. The book should also be a useful reference for more advanced students and researchers in arithmetic and non-archimedean dynamics.

Автор: S. Bosch; U. G?ntzer; R. Remmert
Название: Non-Archimedean Analysis
ISBN: 3642522319 ISBN-13(EAN): 9783642522314
Издательство: Springer
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Цена: 158380.00 T
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Описание: : So eine Illrbeit witb eigentIid) nie rertig, man muli iie fur fertig erfHiren, wenn man nad) 8eit nnb Umftiinben bas moglid)fte get an qat. (@oetqe

Автор: Diagana, Toka Ramaroson, Francois
Название: Non-archimedean operator theory
ISBN: 3319273221 ISBN-13(EAN): 9783319273228
Издательство: Springer
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Цена: 46570.00 T
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Описание: The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators.