Bounded Variation and Around / / Jürgen Appell, Józef Banas, Nelson José Merentes Díaz.
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 nonlinea...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2014 |
Year of Publication: | 2013 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
17 |
Online Access: | |
Physical Description: | 1 online resource (476 p.) |
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072 | 7 | |a MAT037000 |2 bisacsh | |
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100 | 1 | |a Appell, Jürgen, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Bounded Variation and Around / |c Jürgen Appell, Józef Banas, Nelson José Merentes Díaz. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2013] | |
264 | 4 | |c ©2014 | |
300 | |a 1 online resource (476 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Series in Nonlinear Analysis and Applications , |x 0941-813X ; |v 17 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Introduction -- |t 0. Prerequisites -- |t 1. Classical BV-spaces -- |t 2. Nonclassical BV-spaces -- |t 3. Absolutely continuous functions -- |t 4. Riemann–Stieltjes integrals -- |t 5. Nonlinear composition operators -- |t 6. Nonlinear superposition operators -- |t 7. Some applications -- |t References -- |t List of functions -- |t List of symbols -- |t Index -- |t Backmatter |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
650 | 0 | |a Functions of bounded variation. | |
650 | 7 | |a MATHEMATICS / Functional Analysis. |2 bisacsh | |
653 | |a Boundary Value Problem. | ||
653 | |a Bounded Variation. | ||
653 | |a Continuity Properties. | ||
653 | |a Fourier Analysis. | ||
653 | |a Monotonicity Properties. | ||
653 | |a Nonlinear Composition Operators. | ||
653 | |a Nonlinear Integral Equation. | ||
700 | 1 | |a Banas, Józef, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
700 | 1 | |a Merentes Díaz, Nelson José, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Studies in Nonlinear Analysis and Applications |z 9783110647099 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 |z 9783110317350 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 |z 9783110317282 |o ZDB-23-DMI |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 |z 9783110317275 |o ZDB-23-DMP |
776 | 0 | |c print |z 9783110265071 | |
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