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Homeomorphisms in Analysis
About this Title
Casper Goffman, Purdue University, West Lafayette, IN, Togo Nishiura, Wayne State University, Detroit, MI and Daniel Waterman, Syracuse University, Syracuse, NY
Publication: Mathematical Surveys and Monographs
Publication Year:
1997; Volume 54
ISBNs: 978-0-8218-0614-2 (print); 978-0-8218-3214-1 (online)
DOI: https://doi.org/10.1090/surv/054
MathSciNet review: MR1473462
MSC: Primary 26-02; Secondary 28-02, 42-02
Table of Contents
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Front/Back Matter
Chapters
- 1. Subsets of $\mathbb {R}$
- 2. Baire class 1
- 3. Differentiability classes
- 4. The derivative function
- 5. Bi-Lipschitzian homeomorphisms
- 6. Approximation by homeomorphisms
- 7. Measures on $\mathbb {R}^n$
- 8. Blumberg’s theorem
- 9. Improving the behavior of Fourier series
- 10. Preservation of convergence of Fourier series
- 11. Fourier series of integrable functions