skip to content
Hardy spaces Preview this item
ClosePreview this item
Checking...

Hardy spaces

Author: N K Nikolʹskiĭ
Publisher: Cambridge : Cambridge University Press, 2019.
Series: Cambridge studies in advanced mathematics, 179.
Edition/Format:   eBook : Document : No Linguistic Content
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: N K Nikolʹskiĭ
ISBN: 9781316882108 1316882101
OCLC Number: 1084655968
Notes: Originally published in French: El̲ements d'analyse avancee̲ : 1, Espaces de Hardy (Paris : Editions Belin, 2012).
First English translation.
Description: 1 online resource (xviii, 277 pages)
Contents: The origins of the subject; 1. The space H^2(T). An archetypal invariant subspace; 2. The H^p(D) classes. Canonical factorization and first applications; 3. The Smirnov class D and the maximum principle; 4. An introduction to weighted Fourier analysis; 5. Harmonic analysis and stationary filtering; 6. The Riemann hypothesis, dilations, and H^2 in the Hilbert multi-disk; Appendix A. Key notions of integration; Appendix B. Key notions of complex analysis; Appendix C. Key notions of Hilbert spaces; Appendix D. Key notions of Banach spaces; Appendix E. Key notions of linear operators; References; Notation; Index.
Series Title: Cambridge studies in advanced mathematics, 179.
Other Titles: Élements d'analyse avancée.
Responsibility: Nikolaï Nikolski.

Abstract:

Designed for beginning graduate students, this book introduces and develops the classical results on Hardy spaces and applies them to fundamental problems in modern analysis. With solved exercises,  Read more...

Reviews

Editorial reviews

Publisher Synopsis

Advance praise: 'This is a beautiful introduction to a beautiful subject. The author does a masterful job of choosing topics that give a solid introduction to Hardy spaces without overwhelming the Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1084655968> # Hardy spaces
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/1084655968#CreativeWork/unidentifiedOriginalWork> ; # Élements d'analyse avancée. 1, Espaces de Hardy.
    library:oclcnum "1084655968" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8948466521#Topic/hardy_spaces> ; # Hardy spaces
    schema:about <http://experiment.worldcat.org/entity/work/data/8948466521#Topic/functions_of_complex_variables> ; # Functions of complex variables
    schema:about <http://dewey.info/class/515.98/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8948466521#Topic/holomorphic_functions> ; # Holomorphic functions
    schema:author <http://experiment.worldcat.org/entity/work/data/8948466521#Person/nikolskii_n_k_nikolai_kapitonovich> ; # Nikolaĭ Kapitonovich Nikolʹskiĭ
    schema:bookFormat schema:EBook ;
    schema:datePublished "2019" ;
    schema:description "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." ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/8948466521> ; # Élements d'analyse avancée. 1, Espaces de Hardy.
    schema:genre "Electronic books" ;
    schema:inLanguage "en" ;
    schema:inLanguage "zxx" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/8948466521#Series/cambridge_studies_in_advanced_mathematics> ; # Cambridge studies in advanced mathematics ;
    schema:name "Hardy spaces" ;
    schema:productID "1084655968" ;
    schema:url <http://public.eblib.com/choice/PublicFullRecord.aspx?p=5792500> ;
    schema:url <https://doi.org/10.1017/9781316882108> ;
    schema:workExample <http://worldcat.org/isbn/9781316882108> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1084655968> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/8948466521#Person/nikolskii_n_k_nikolai_kapitonovich> # Nikolaĭ Kapitonovich Nikolʹskiĭ
    a schema:Person ;
    schema:familyName "Nikolʹskiĭ" ;
    schema:givenName "Nikolaĭ Kapitonovich" ;
    schema:givenName "N. K." ;
    schema:name "Nikolaĭ Kapitonovich Nikolʹskiĭ" ;
    .

<http://experiment.worldcat.org/entity/work/data/8948466521#Series/cambridge_studies_in_advanced_mathematics> # Cambridge studies in advanced mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1084655968> ; # Hardy spaces
    schema:name "Cambridge studies in advanced mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/8948466521#Topic/functions_of_complex_variables> # Functions of complex variables
    a schema:Intangible ;
    schema:name "Functions of complex variables" ;
    .

<http://experiment.worldcat.org/entity/work/data/8948466521#Topic/holomorphic_functions> # Holomorphic functions
    a schema:Intangible ;
    schema:name "Holomorphic functions" ;
    .

<http://worldcat.org/entity/work/id/8948466521> # Élements d'analyse avancée. 1, Espaces de Hardy.
    schema:name "Élements d'analyse avancée. 1, Espaces de Hardy." ;
    .

<http://worldcat.org/isbn/9781316882108>
    a schema:ProductModel ;
    schema:isbn "1316882101" ;
    schema:isbn "9781316882108" ;
    .

<http://www.worldcat.org/title/-/oclc/1084655968#CreativeWork/unidentifiedOriginalWork> # Élements d'analyse avancée. 1, Espaces de Hardy.
    a schema:CreativeWork ;
    schema:inLanguage "fr" ;
    schema:name "Élements d'analyse avancée. 1, Espaces de Hardy." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.