New Results in Mathematical Analysis - Olteanu, Octav
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The present book emphasizes basic results in functional and classical analysis, published in the last two decades. Markov moment problem, polynomial approximation on unbounded subsets, invariant subspaces and balls for bounded linear operators, convexity and convex optimization, a global variant of Newton's method for convex functions and operators and its connection to contraction principle, special functional equations (including the case of complex analytic functions and operatorial equations), approximating the perimeter of theellipse by means of a Leibniz series are discussed.

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Produktbeschreibung
The present book emphasizes basic results in functional and classical analysis, published in the last two decades. Markov moment problem, polynomial approximation on unbounded subsets, invariant subspaces and balls for bounded linear operators, convexity and convex optimization, a global variant of Newton's method for convex functions and operators and its connection to contraction principle, special functional equations (including the case of complex analytic functions and operatorial equations), approximating the perimeter of theellipse by means of a Leibniz series are discussed.
Autorenporträt
Prof. PhD Octav Olteanu: mathematical analysis; functional analysis; the moment problem; polynomial approximation on unbounded subsets; convexity. Over 74 published journal articles and 17 books. Prof. PhD Savin Trean¿¿: Optimization; Control Theory; Geometric PDEs; Information Theory. Over 25 published scientific works.