TY  - BOOK
AU  - Nikolʹskiĭ,N.K.
TI  - Hardy spaces
T2  - Cambridge studies in advanced mathematics
SN  - 9781316882108 (ebook)
AV  - QA331.7 .N5513 2019
U1  - 515/.98 23
PY  - 2019///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Hardy spaces
KW  - Functions of complex variables
KW  - Holomorphic functions
N1  - 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)
N2  - 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
UR  - https://doi.org/10.1017/9781316882108
ER  -