Hardy spaces / Nikolaï Nikolski.

Nikolʹskiĭ, N. K. (Nikolaĭ Kapitonovich)

Call Number	515/.98
Author	Nikolʹskiĭ, N. K. author.
Title	Hardy spaces / Nikolaï Nikolski.
Physical Description	1 online resource (xviii, 277 pages) : digital, PDF file(s).
Series	Cambridge studies in advanced mathematics ; 179
Notes	Originally published in French: Élements d'analyse avancée : 1, Espaces de Hardy (Paris : Editions Belin, 2012). First English translation. Title from publisher's bibliographic system (viewed on 29 Jan 2019).
Summary	The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises that also introduce subsidiary topics and recent developments. The reader's understanding of the current state of the field, as well as its history, are further aided by engaging accounts of important contributors and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces.
Subject	Hardy spaces. FUNCTIONS OF COMPLEX VARIABLES. HOLOMORPHIC FUNCTIONS.
Multimedia	https://doi.org/10.1017/9781316882108

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Summary	The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises that also introduce subsidiary topics and recent developments. The reader's understanding of the current state of the field, as well as its history, are further aided by engaging accounts of important contributors and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces.
Notes	Originally published in French: Élements d'analyse avancée : 1, Espaces de Hardy (Paris : Editions Belin, 2012). First English translation. Title from publisher's bibliographic system (viewed on 29 Jan 2019).
Subject	Hardy spaces. FUNCTIONS OF COMPLEX VARIABLES. HOLOMORPHIC FUNCTIONS.
Multimedia	https://doi.org/10.1017/9781316882108