skip to content
Bounded Variation and Around. Preview this item
ClosePreview this item
Checking...

Bounded Variation and Around.

Author: Jürgen Appell; Jozef Banas; Nelson José Merentes Díaz
Publisher: Berlin : De Gruyter, [2013] ©2013
Series: De Gruyter series in nonlinear analysis and applications.
Edition/Format:  eBook : Document : EnglishView all editions and formats
Summary:
This monographis a self-contained exposition of the definition and properties of functionsof bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book is written for non-specialists. Every chapter closes with a list of exercises and  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
Additional Physical Format: Print version:
Appell, Jürgen.
Bounded Variation and Around.
Berlin : De Gruyter, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jürgen Appell; Jozef Banas; Nelson José Merentes Díaz
ISBN: 9783110265118 3110265117
OCLC Number: 870589954
Description: 1 online resource (x, 476 pages).
Contents: Preface; Introduction; 0 Prerequisites; 0.1 The Lebesgue integral; 0.2 Some functional analysis; 0.3 Basic function spaces; 0.4 Comments on Chapter 0; 0.5 Exercises to Chapter 0; 1 Classical BV-spaces; 1.1 Functions of bounded variation; 1.2 Bounded variation and continuity; 1.3 Functions of bounded Wiener variation; 1.4 Functions of several variables; 1.5 Comments on Chapter 1; 1.6 Exercises to Chapter 1; 2 Nonclassical BV-spaces; 2.1 The Wiener-Young variation; 2.2 The Waterman variation; 2.3 The Schramm variation; 2.4 The Riesz-Medvedev variation; 2.5 The Korenblum variation. 2.6 Higher order Wiener-type variations2.7 Comments on Chapter 2; 2.8 Exercises to Chapter 2; 3 Absolutely continuous functions; 3.1 Continuity and absolute continuity; 3.2 The Vitali-Banach-Zaretskij theorem; 3.3 Reconstructing a function from its derivative; 3.4 Rectifiable functions; 3.5 The Riesz-Medvedev theorem; 3.6 Higher order Riesz-type variations; 3.7 Comments on Chapter 3; 3.8 Exercises to Chapter 3; 4 Riemann-Stieltjes integrals; 4.1 Classical RS-integrals; 4.2 Bounded variation and duality; 4.3 Bounded p-variation and duality; 4.4 Nonclassical RS-integrals. 4.5 Comments on Chapter 44.6 Exercises to Chapter 4; 5 Nonlinear composition operators; 5.1 The composition operator problem; 5.2 Boundedness and continuity; 5.3 Spaces of differentiable functions; 5.4 Global Lipschitz continuity; 5.5 Local Lipschitz continuity; 5.6 Comments on Chapter 5; 5.7 Exercises to Chapter 5; 6 Nonlinear superposition operators; 6.1 Boundedness and continuity; 6.2 Lipschitz continuity; 6.3 Uniform boundedness and continuity; 6.4 Functions of several variables; 6.5 Comments on Chapter 6; 6.6 Exercises to Chapter 6; 7 Some applications. 7.1 Convergence criteria for Fourier series7.2 Fourier series and Waterman spaces; 7.3 Applications to nonlinear integral equations; 7.4 Comments on Chapter 7; References; List of functions; List of symbols; Index.
Series Title: De Gruyter series in nonlinear analysis and applications.
More information:

Abstract:

Offers a self-contained exposition of the definition and properties of functions of bounded variation and their various generalizations; the analytical properties of nonlinear composition operators  Read more...

Reviews

User-contributed 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/870589954> # Bounded Variation and Around.
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
    library:oclcnum "870589954" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/1144585734#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
    schema:about <http://experiment.worldcat.org/entity/work/data/1144585734#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
    schema:about <http://dewey.info/class/515.8/> ;
    schema:about <http://id.worldcat.org/fast/936115> ; # Functions of bounded variation
    schema:author <http://viaf.org/viaf/305363268> ; # Nelson José Merentes Díaz
    schema:author <http://viaf.org/viaf/19757026> ; # Jürgen Appell
    schema:author <http://viaf.org/viaf/101772261> ; # Jozef Banas
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2013" ;
    schema:datePublished "2013" ;
    schema:description "Preface; Introduction; 0 Prerequisites; 0.1 The Lebesgue integral; 0.2 Some functional analysis; 0.3 Basic function spaces; 0.4 Comments on Chapter 0; 0.5 Exercises to Chapter 0; 1 Classical BV-spaces; 1.1 Functions of bounded variation; 1.2 Bounded variation and continuity; 1.3 Functions of bounded Wiener variation; 1.4 Functions of several variables; 1.5 Comments on Chapter 1; 1.6 Exercises to Chapter 1; 2 Nonclassical BV-spaces; 2.1 The Wiener-Young variation; 2.2 The Waterman variation; 2.3 The Schramm variation; 2.4 The Riesz-Medvedev variation; 2.5 The Korenblum variation."@en ;
    schema:description "This monographis a self-contained exposition of the definition and properties of functionsof bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book is written for non-specialists. Every chapter closes with a list of exercises and open problems."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/1144585734> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/1144585734#Series/de_gruyter_series_in_nonlinear_analysis_and_applications> ; # De Gruyter series in nonlinear analysis and applications.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/1144585734#CreativeWork/bounded_variation_and_around> ;
    schema:name "Bounded Variation and Around."@en ;
    schema:productID "870589954" ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=893608> ;
    schema:url <https://ebookcentral.proquest.com/lib/ucm/detail.action?docID=893608> ;
    schema:url <http://site.ebrary.com/id/10838266> ;
    schema:url <https://doi.org/10.1515/9783110265118> ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=893608> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=699597> ;
    schema:url <http://www.myilibrary.com?id=574212> ;
    schema:url <http://ebookcentral.proquest.com/lib/columbia/detail.action?docID=893608> ;
    schema:workExample <http://worldcat.org/isbn/9783110265118> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/870589954> ;
    .

Related Entities

<http://experiment.worldcat.org/entity/work/data/1144585734#Series/de_gruyter_series_in_nonlinear_analysis_and_applications> # De Gruyter series in nonlinear analysis and applications.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/870589954> ; # Bounded Variation and Around.
    schema:name "De Gruyter series in nonlinear analysis and applications." ;
    schema:name "De Gruyter Series in Nonlinear Analysis and Applications ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/1144585734#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
    schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1144585734#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
    schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://id.worldcat.org/fast/936115> # Functions of bounded variation
    a schema:Intangible ;
    schema:name "Functions of bounded variation"@en ;
    .

<http://viaf.org/viaf/101772261> # Jozef Banas
    a schema:Person ;
    schema:birthDate "1950" ;
    schema:familyName "Banas" ;
    schema:givenName "Jozef" ;
    schema:name "Jozef Banas" ;
    .

<http://viaf.org/viaf/19757026> # Jürgen Appell
    a schema:Person ;
    schema:familyName "Appell" ;
    schema:givenName "Jürgen" ;
    schema:name "Jürgen Appell" ;
    .

<http://viaf.org/viaf/305363268> # Nelson José Merentes Díaz
    a schema:Person ;
    schema:familyName "Merentes Díaz" ;
    schema:givenName "Nelson José" ;
    schema:name "Nelson José Merentes Díaz" ;
    .

<http://worldcat.org/entity/work/data/1144585734#CreativeWork/bounded_variation_and_around>
    a schema:CreativeWork ;
    rdfs:label "Bounded Variation and Around." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/870589954> ; # Bounded Variation and Around.
    .

<http://worldcat.org/isbn/9783110265118>
    a schema:ProductModel ;
    schema:isbn "3110265117" ;
    schema:isbn "9783110265118" ;
    .

Content-negotiable representations

Close Window

Please sign in to WorldCat 

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

Cancel Forgot your password?