- Publisher: Cambridge University Press
- Online publication date: January 2019
- Print publication year: 2019
- Online ISBN: 9781316882108
- DOI: https://doi.org/10.1017/9781316882108
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.
John McCarthy - Washington University, St Louis
Joaquim Bruna - Universitat Autònoma de Barcelona
Brett Wick - Washington University, St Louis
Mihai Putinar - University of California, Santa Barbara
M. Bona Source: Choice
William T. Ross Source: Bulletin of the American Mathematical Society
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