Strange functions in real analysis. (2006)

• Record Type: Book
• Further Information: Note: A.B. Kharazishvili.
• Other Names: Kharazishvili, A. B
• Contents: Introduction: basic concepts; Cantor and Peano type functions; Functions of first Baire classNew!; Semicontinuous functions that are not countably continuousNew!; Singular monotone functions; Everywhere differentiable nowhere monotone functions; Nowhere approximately differentiable functions; Blumberg's theorem and Sierpinski-Zygmund functions; Lebesgue nonmeasurable functions and functions without the Baire property; Hamel basis and Cauchy functional equation; Luzin sets, Sierpinski sets, and their applications; Absolutely nonmeasurable additive functionsNew!; Egorov type theorems; Sierpinski's partition of the Euclidean plane; Bad functions defined on second category setsNew!; Sup-measurable and weakly sup-measurable functions; Generalized step-functions and superposition operatorsNew!; Ordinary differential equations with bad right-hand sides; Nondifferentiable functions from the point of view of category and measure; Bibliography; Subject Index
• Edition: 2nd ed
• Publisher Details: Boca Raton, FL : Chapman & Hall/CRC
• Publication Date: 2006
• Extent: 1 online resource (xii, 415 pages)
• Subjects: 515/.7; Functional analysis; Functions of real variables; Analyse fonctionnelle; Fonctions de variables réelles; MATHEMATICS -- Functional Analysis; Functional analysis; Functions of real variables; Analytische functies; Electronic books
• Languages: English
• ISBNs: 1420034847; 9781420034844; 1584885823; 9781584885825
• Notes: Note: Includes bibliographical references (pages 393-409) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.