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Markov Moment Problem and Extremal Problems - Mathematical Monographs

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Description

Explore the classical foundations and modern developments of the moment problem through this comprehensive mathematical monograph. This translation presents an extensive circle of questions originating from the pioneering work of P. L. Chebyshev and A. A. Markov, examined through contemporary perspectives. Discover how the generalized moment problem interconnects with geometry of convex bodies, algebra, and function theory. The text provides detailed study of convex and conical hulls of curves, establishes isoperimetric inequalities for convex hulls, and constructs a rigorous theory of orthogonal and quasiorthogonal polynomials. Essential for mathematicians, researchers, and advanced students exploring mathematical analysis, extremal problems, and the theoretical underpinnings of classical moment problems in modern contexts.

Key Features

Markov moment problem examined from modern mathematical viewpoints and classical perspectives.

Comprehensive treatment of convex bodies geometry with detailed analysis of convex and conical hulls.

Isoperimetric inequalities for convex hulls established through rigorous mathematical development.

Theory of orthogonal and quasiorthogonal polynomials fully constructed and explained.

Published by American Mathematical Society as part of the Translations of Mathematical Monographs series.

Connects moment problem theory with algebra and function theory applications.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
15 December 1977
Listed Since
30 December 2006

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