Metrical Theory of Continued Fractions

Metrical Theory of Continued Fractions
Marius Iosifescu, M. Iosifescu ...
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Last edited by ImportBot
March 1, 2022 | History

Metrical Theory of Continued Fractions

The book is essentially based on recent work of the authors. In order to unify and generalize the results obtained so far, new concepts have been introduced, e.g., an infinite order chain representation of the continued fraction expansion of irrationals, the conditional measures associated with, and the extended random variables corresponding to that representation. Also, such procedures as singularization and insertion allow to obtain most of the continued fraction expansions related to the regular continued fraction expansion. The authors present and prove with full details for the first time in book form, the most recent developments in solving the celebrated 1812 Gauss' problem which originated the metrical theory of continued fractions. At the same time, they study exhaustively the Perron-Frobenius operator, which is of basic importance in this theory, on various Banach spaces including that of functions of bounded variation on the unit interval. The book is of interest to research workers and advanced Ph.D. students in probability theory, stochastic processes and number theory.

Publish Date
Publisher
Springer
Language
English

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Edition Availability
Cover of: Metrical Theory of Continued Fractions
Metrical Theory of Continued Fractions
Mar 14, 2014, Springer
paperback
Cover of: Metrical Theory of Continued Fractions
Metrical Theory of Continued Fractions
2013, Springer
in English
Cover of: Metrical Theory of Continued Fractions
Metrical Theory of Continued Fractions
Dec 08, 2010, Springer Netherlands, Iosifescu M Kraaikamp Cor
paperback
Cover of: Metrical theory of continued fractions
Metrical theory of continued fractions
2002, Kluwer Academic Publishers
in English
Cover of: Metrical Theory of Continued Fractions (Mathematics and Its Applications)
Metrical Theory of Continued Fractions (Mathematics and Its Applications)
September 30, 2002, Springer
Hardcover in English - 1 edition

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Book Details


Classifications

Library of Congress
QA273.A1-274.9

The Physical Object

Pagination
xix, 383

ID Numbers

Open Library
OL37423887M
ISBN 13
9789401599405

Source records

Better World Books record

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March 1, 2022 Created by ImportBot Imported from Better World Books record