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Mathematical Analysis

Author: R V Gamkrelidze
Publisher: Boston, MA : Springer US : Imprint : Springer, 1970.
Series: Progress in Mathematics, Translations of Itogi Nauki -- Seriya Matematika ;, 8.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This volume contains three articles: "Asymptotic methods in the theory of ordinary differential equations" b'y V.F. Butuzov, A.B. Vasil'eva, and M.V. Fedoryuk, "The theory of best ap proximation in Dormed linear spaces" by A.L. Garkavi, and "Dy namical systems with invariant measure" by A. 'VI. Vershik and S.A. Yuzvinskii. The first article surveys the literature on linear and non linear singular asymptotic  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R V Gamkrelidze
ISBN: 9781468433036 1468433032 9781468433050 1468433059 9781475715897 1475715897 9781475715910 1475715919 9780306392108 0306392100
OCLC Number: 840288163
Description: 1 online resource.
Contents: Asymptotic Methods in the Theory of Ordinary Differential Equations --
I: Linear Differential Equations --
II: Nonlinear Differential Equations --
The Theory of Best Approximation in Normed Linear Spaces --
I. Best Approximation by Polynomials and Their Generalization in Classical Function Spaces --
II. The Problem ol Best Approximation in Banach Spaces --
III. Geometric Problems in the Theory of Best Approximation --
IV. On the Approximation of Sets --
V. On the Convergence of Positive Linear Operators --
Dynamical Systems with Invariant Measure --
1. Introduction --
2. Entropy Theory --
3. Spectral Theory and Operator Rings --
4. Ergodic Theorems --
5. Classical Systems --
6. Systems of Algebraic and Number-Theoretic Extraction --
7. Transformations with Infinite and Quasi-Invariant Measure and the Existence of an Invariant Measure --
8. Other Questions.
Series Title: Progress in Mathematics, Translations of Itogi Nauki -- Seriya Matematika ;, 8.
Responsibility: edited by R.V. Gamkrelidze.

Abstract:

The third article reflects the present state of the art in the given area of the theory of representations, which has been re- ceiving considerable attention in connection with its applications in  Read more...

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