Homeomorphisms in analysis / Casper Goffman, Togo Nishiura, Daniel Waterman.
Series: Mathematical surveys and monographs ; no. 54.Publication details: Providence, R.I. : American Mathematical Society, c1997.Description: xiv, 216 p. ; 26 cmISBN:- 0821806149 (alk. paper)
- 00765376
- QA613.7.G64 1998
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|---|
BOOK
|
Strathmore University (Main Library) Open Shelf | BOOK | QA613.7.G64 1998 | Available | 80634 |
Includes bibliographical references (p.207 -211) and index.
Table of Contents
Ch. 1. Subsets of R --
Ch. 2. Baire Class 1 --
Ch. 3. Differentiability Classes --
Ch. 4. The Derivative Function --
Ch. 5. Bi-Lipschitzian Homeomorphisms --
Ch. 6. Approximation by Homeomorphisms --
Ch. 7. Measures on R[superscript n] --
Ch. 8. Blumberg's Theorem --
Ch. 9. Improving the Behavior of Fourier Series --
Ch. 10. Preservation of Convergence of Fourier Series --
Ch. 11. Fourier Series of Integrable Functions --
A.1. Baire, Borel and Lebesgue --
A.2. Lipschitzian functions --
A.3. Bounded variation --
A.4. Density topology --
A.5. Approximately continuous maps into metric spaces --
A.6. Hausdorff dimension --
A.7. Hausdorff packing --
A.8. Nonparametric length --
A.9. Schwarz's example --
A.10. Lebesgue's lower semicontinuous area --
A.11. Distribution derivatives for one real variable.
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