Hardy Spaces by Nikola Nikolski

Hardy Spaces by Nikola Nikolski

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.

'This is a beautiful introduction to a beautiful subjectThe author does a masterful job of choosing topics that give a solid introduction to Hardy spaces without overwhelming the reader with too much too soon. Every student of mathematics should enjoy this book.' John McCarthy, Washington University, St Louis

Nikolaï Nikolski is Professor Emeritus at the Université de Bordeaux working primarily in analysis and operator theory. He has been co-editor of four international journals and published numerous articles and research monographs. He has also supervised some thirty Ph.D. students, including three Salem Prize winners. Professor Nikolski was elected Fellow of the American Mathematical Society (AMS) in 2013 and received the Prix Ampère of the French Academy of Sciences in 2010.

SKU	Unavailable
ISBN 13	9781107184541
ISBN 10	1107184541
Title	Hardy Spaces
Author	Nikolaï Nikolski
Series	Cambridge Studies In Advanced Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	Cambridge University Press
Year published	2019-01-31
Number of pages	294
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.