Description: Further DetailsTitle: Bounded Variation and AroundCondition: NewISBN-10: 3110265079EAN: 9783110265071ISBN: 9783110265071Publisher: De GruyterFormat: HardbackRelease Date: 12/12/2013Description: 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.Language: EnglishCountry/Region of Manufacture: DEItem Height: 240mmItem Length: 170mmItem Weight: 945gAuthor: Jürgen Appell, Józef Banas, Nelson José Merentes DíazGenre: Science Nature & MathBook Series: De Gruyter Series in Nonlinear Analysis & ApplicationsRelease Year: 2013 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Bounded Variation and Around
Title: Bounded Variation and Around
ISBN-10: 3110265079
EAN: 9783110265071
ISBN: 9783110265071
Release Date: 12/12/2013
Release Year: 2013
Country/Region of Manufacture: DE
Item Height: 240mm
Genre: Science Nature & Math
Number of Pages: 486 Pages
Language: English
Publication Name: Bounded Variation and Around
Publisher: DE Gruyter Gmbh, Walter
Subject: Functional Analysis, Research, Mathematical Analysis
Publication Year: 2013
Item Weight: 33.3 Oz
Type: Textbook
Subject Area: Mathematics
Author: Jürgen Appell, Nelson José Merentes Díaz, Józef Banas
Item Length: 9.4 in
Series: De Gruyter Series in Nonlinear Analysis and Applications Ser.
Item Width: 6.7 in
Format: Hardcover
