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ocn870589954 |
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OCoLC |
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20240809213013.0 |
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| 019 |
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|a 874162432
|a 880962878
|a 921227025
|a 960207575
|a 961667744
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|a 992031565
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|a 9783110265118
|q (electronic bk.)
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| 020 |
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|a 3110265117
|q (electronic bk.)
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| 020 |
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|z 9783110265071
|q (hardcover
|q acid-free paper)
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|z 3110265079
|q (hardcover
|q acid-free paper)
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|a (OCoLC)870589954
|z (OCoLC)874162432
|z (OCoLC)880962878
|z (OCoLC)921227025
|z (OCoLC)960207575
|z (OCoLC)961667744
|z (OCoLC)966242881
|z (OCoLC)988414275
|z (OCoLC)992031565
|z (OCoLC)1264874386
|
| 050 |
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4 |
|a QA331.5 .A64 2013
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| 072 |
|
7 |
|a MAT
|x 005000
|2 bisacsh
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| 072 |
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7 |
|a MAT
|x 034000
|2 bisacsh
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| 072 |
|
7 |
|a QA
|2 lcco
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| 049 |
|
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|a HCDD
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| 100 |
1 |
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|a Appell, Jürgen,
|e author.
|
| 245 |
1 |
0 |
|a Bounded Variation and Around.
|
| 264 |
|
1 |
|a Berlin :
|b De Gruyter,
|c [2013]
|
| 264 |
|
4 |
|c ©2013
|
| 300 |
|
|
|a 1 online resource (x, 476 pages)
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a De Gruyter Series in Nonlinear Analysis and Applications ;
|v v. 17
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| 588 |
0 |
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|a Print version record.
|
| 505 |
0 |
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|a 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.
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| 505 |
8 |
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|a 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.
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| 505 |
8 |
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|a 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.
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| 505 |
8 |
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|a 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.
|
| 520 |
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|a 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.
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| 504 |
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|a Includes bibliographical references and index.
|
| 650 |
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0 |
|a Functions of bounded variation.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a Functions of bounded variation
|2 fast
|
| 650 |
|
7 |
|a Harmonische Analyse
|2 gnd
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| 650 |
|
7 |
|a Nichtlineare Analysis
|2 gnd
|
| 650 |
|
7 |
|a Funktion von beschränkter Variation
|2 gnd
|
| 700 |
1 |
|
|a Banas, Jozef,
|d 1950-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJbRgv6JrywvjgDx4DhWDq
|
| 700 |
1 |
|
|a Merentes Díaz, Nelson José,
|e author.
|
| 758 |
|
|
|i has work:
|a Bounded Variation and Around (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFCtJCdGk38mX4tRPckp4C
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Appell, Jürgen.
|t Bounded Variation and Around.
|d Berlin : De Gruyter, ©2013
|z 9783110265071
|
| 830 |
|
0 |
|a De Gruyter series in nonlinear analysis and applications.
|
| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=893608
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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