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  • 1
    Book
    Book
    Bounded variation and around (2014)
    Berlin : De Gruyter
    Details
    UID:
    b3kat_BV040302084
    Format: X, 476 S. , graph. Darst.
    ISBN: 9783110265071 , 9783110266245
    Series Statement: de Gruyter series in nonlinear analysis and applications 17
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-026511-8
    Language: English
    Subjects: Mathematics
    RVK:
    SK 420
    RVK:
    SK 450
    RVK:
    SK 600
    RVK:
    SK 660
    Keywords: Funktion von beschränkter Variation ; Harmonische Analyse ; Nichtlineare Analysis
    URL: Inhaltsverzeichnis
    URL: Klappentext
    Author information: Appell, Jürgen 1952-
    Author information: Merentes Díaz, Nelson José 1954-
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  • 2
    Book
    Book
    Hugo Chávez y la Venezuela potencia : ideas y discursos sobre el desarrollo económico (2021)
    Caracas, Venezuela : Instituto de Altos Estudios del Pensamiento del Comandante Supremo Hugo Rafael Chávez Frías
    Details
    UID:
    gbv_1782069496
    Format: 423 Seiten , 21 cm
    ISBN: 9789807744171
    Series Statement: Colección De primera fuente
    Language: Spanish
    URL: Cover
    Author information: Chávez Frías, Hugo 1954-2013
    Author information: Merentes Díaz, Nelson José 1954-
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    Ibero-Amerik. Institut get availability status
  • 3
    Online Resource
    Online Resource
    Bounded variation and around (2013)
    Berlin [u.a.] : De Gruyter
    Details
    UID:
    almahu_BV040605414
    Format: Online-Ressource (PDF-Version: X, 476 S.) , graph. Darst.
    ISBN: 9783110265071 , 9783110265118
    Series Statement: de Gruyter Series in Nonlinear Analysis and Applications 17
    Content: Biographical note: Jürgen Appell, University of Würzburg, Germany; Jozef Banas, Technical University of Rzeszow, Poland; Nelson José Merentes Díaz, Central University of Venezuela, Caracas,Venezuela.
    Content: Main description: This monographis a self-contained exposition of the definition and properties of functionsof bounded variation and their various generalizations; the analyticalproperties of nonlinear composition operators in spaces of such functions;applications to Fourier analysis, nonlinear integral equations, andboundary value problems.It is written for non-specialists and gives a readable overall acount of the theory, methods, and applications. The bookis written for non-specialists and gives a readable overall acount of the theory, methods, and applications. Every chapter closes with a list of exercises and open problems. Thusthe book serves as a fruitful sourcefor further research.
    Note: Description based upon print version of record , 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. , 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.
    Language: English
    Keywords: Electronic books
    DOI: 10.1515/9783110265118
    URL: http://dx.doi.org/10.1515/9783110265118
    URL: http://www.degruyter.com/doi/book/10.1515/9783110265118
    URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110265118&searchTitles=true
    URL: Volltext
    URL: Cover
    Author information: Merentes Díaz, Nelson José, 1954-
    Author information: Banaś, Józef, 1950-
    Author information: Appell, Jürgen, 1952-
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    HU Berlin
  • 4
    Online Resource
    Online Resource
    Bounded Variation and Around / (2013)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949462112402882
    Format: 1 online resource (476 p.)
    ISBN: 9783110265118 , 9783110647099
    Series Statement: De Gruyter Series in Nonlinear Analysis and Applications , 17
    Content: The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their study, their relations to other important function classes, and their applications to various problems arising in Fourier analysis and nonlinear analysis. In the first part the basic facts about spaces of functions of bounded variation and related spaces are collected, the main ideas which are useful in studying their properties are presented, and a comparison of their importance and suitability for applications is provided, with a particular emphasis on illustrative examples and counterexamples. The second part is concerned with (sometimes quite surprising) properties of nonlinear composition and superposition operators in such spaces. Moreover, relations with Riemann-Stieltjes integrals, convergence tests for Fourier series, and applications to nonlinear integral equations are discussed. The only prerequisite for understanding this book is a modest background in real analysis, functional analysis, and operator theory. It is addressed to non-specialists who want to get an idea of the development of the theory and its applications in the last decades, as well as a glimpse of the diversity of the directions in which current research is moving. Since the authors try to take into account recent results and state several open problems, this book might also be a fruitful source of inspiration for further research.
    Note: Frontmatter -- , Preface -- , Contents -- , Introduction -- , 0. Prerequisites -- , 1. Classical BV-spaces -- , 2. Nonclassical BV-spaces -- , 3. Absolutely continuous functions -- , 4. Riemann-Stieltjes integrals -- , 5. Nonlinear composition operators -- , 6. Nonlinear superposition operators -- , 7. Some applications -- , References -- , List of functions -- , List of symbols -- , Index -- , Backmatter , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.
    In: DG Studies in Nonlinear Analysis and Applications, De Gruyter, 9783110647099
    In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
    In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
    In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
    In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
    Additional Edition: ISBN 9783110265071
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    DOI: 10.1515/9783110265118
    URL: https://doi.org/10.1515/9783110265118
    URL: https://www.degruyter.com/isbn/9783110265118
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    HU Berlin
  • 5
    Online Resource
    Online Resource
    Bounded variation and around (2014)
    Berlin : De Gruyter
    Details
    UID:
    gbv_1653202327
    Format: 1 Online-Ressource (X, 476 Seiten)
    ISBN: 9783110265118
    Series Statement: De Gruyter studies in nonlinear analysis and applications volume 17
    Content: Biographical note: Jürgen Appell, University of Würzburg, Germany; Jozef Banas, Technical University of Rzeszow, Poland; Nelson José Merentes Díaz, Central University of Venezuela, Caracas,Venezuela.
    Content: This monographis a self-contained exposition of the definition and properties of functionsof bounded variation and their various generalizations; the analyticalproperties of nonlinear composition operators in spaces of such functions;applications to Fourier analysis, nonlinear integral equations, andboundary value problems.It is written for non-specialists and gives a readable overall acount of the theory, methods, and applications. The bookis written for non-specialists and gives a readable overall acount of the theory, methods, and applications. Every chapter closes with a list of exercises and open problems. Thusthe book serves as a fruitful sourcefor further research.
    Note: In English
    Additional Edition: ISBN 9783110265071
    Additional Edition: Erscheint auch als Druck-Ausgabe Appell, Jürgen, 1952 - Bounded variation and around Berlin [u.a.] : De Gruyter, 2014 ISBN 9783110266245
    Additional Edition: ISBN 3110265079
    Additional Edition: ISBN 9783110265071
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    Keywords: Funktion von beschränkter Variation ; Harmonische Analyse ; Nichtlineare Analysis
    DOI: 10.1515/9783110265118
    URL: Volltext
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Cover
    URL: Inhaltstext
    URL: Cover
    Author information: Appell, Jürgen 1952-
    Author information: Banaś, Józef 1950-
    Author information: Merentes Díaz, Nelson José 1954-
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 6
    Online Resource
    Online Resource
    Bounded Variation and Around / (2013)
    Berlin/Boston :De Gruyter,
    Details
    UID:
    almafu_9958354090102883
    Format: 1 online resource(x,476p.) : , illustrations.
    Edition: Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
    Edition: System requirements: Web browser.
    Edition: Access may be restricted to users at subscribing institutions.
    ISBN: 9783110265118
    Series Statement: De Gruyter Series in Nonlinear Analysis and Applications; 17
    Content: 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.
    Note: Frontmatter -- , Preface -- , Contents -- , Introduction -- , 0. Prerequisites -- , 1. Classical BV-spaces -- , 2. Nonclassical BV-spaces -- , 3. Absolutely continuous functions -- , 4. Riemann–Stieltjes integrals -- , 5. Nonlinear composition operators -- , 6. Nonlinear superposition operators -- , 7. Some applications -- , References -- , List of functions -- , List of symbols -- , Index -- , Backmatter. , Also available in print edition. , In English.
    Additional Edition: ISBN 9783110265071
    Additional Edition: ISBN 9783110266245
    Language: English
    DOI: 10.1515/9783110265118
    URL: https://doi.org/10.1515/9783110265118
    URL: https://doi.org/10.1515/9783110265118
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    FU Berlin
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