Hardy spaces /
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| Author / Creator: | Nikolʹskiĭ, N. K. (Nikolaĭ Kapitonovich), author. |
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| Uniform title: | Élements d'analyse avancée. 1, Espaces de Hardy. English |
| Imprint: | Cambridge ; New York, NY : Cambridge University Press, 2019. |
| Description: | xviii, 277 pages : illustrations ; 24 cm |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 179 Cambridge studies in advanced mathematics ; 179. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11854453 |
| 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. |
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| Item Description: | Originally published in French: Élements d'analyse avancée : 1, Espaces de Hardy (Paris : Editions Belin, 2012). First English translation. |
| Physical Description: | xviii, 277 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 259-267) and index. |
| ISBN: | 9781107184541 1107184541 9781316886830 |