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Orthogonal Series - Mathematical Monographs Translation

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Description

Explore the comprehensive theory of orthogonal series in this authoritative mathematical monograph. This translation examines the foundational development of general orthogonal series from their origins at the turn of the century through their modern applications in contemporary mathematics. The book traces how Lebesgue integration enabled the natural generalisation of trigonometric series theory, and demonstrates why many classical propositions about trigonometric systems remain valid across broad classes of orthonormal systems. Focusing on fundamental methods and essential theory, the text provides detailed study of general orthonormal systems alongside specific systems including the Haar and Franklin systems. This rigorous treatment bridges classical results with recent advances in the field, making it an essential reference for mathematicians, researchers, and advanced students seeking deep understanding of orthogonal series and their applications.

Key Features

The book covers general orthonormal systems and specific systems such as Haar and Franklin systems within orthogonal series theory.

Focuses on fundamental methods of orthogonal series theory developed over the past 25 years of active mathematical research.

Demonstrates how propositions about the trigonometric system properties generalise across broad classes of orthonormal systems.

Presents orthogonal series theory as a natural generalisation based on Lebesgue integration of classical trigonometric series.

Published by American Mathematical Society as a translation of mathematical monographs for academic and professional reference.

Suitable for mathematicians, researchers, and advanced students studying general orthonormal systems and their theoretical properties.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
15 April 2005
Listed Since
10 October 2008

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