Homeomorphisms in Analysis by Casper Goffman
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About this book :-
This book features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.
Book Detail :-
This book has following details information.
Title:
Homeomorphisms in Analysis by Casper Goffman by NA
Publisher:
American Mathematical Society
Series:
eBooksDirectory
Year:
1997
Pages:
216
Type:
PDF
Language:
English
ISBN-10 #:
0821806149
ISBN-13 #:
9780821806142
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-1 The One Dimensional Case
1. Subsets of R
2. Baire Class 1
3. Differentiability Classes
4. The Derivative Function
Part-2 Mappings and Measures on Rn
5. Bi-Lipschitzian Homeomorphisms
6. Approximation by Homeomorphisms
7. Measures on Rn
8. Blumberg's Theorem
Part-3 Fourier Series
9. Improving the Behavior of Fourier Series
10. Preservation of Convergence of Fourier Series
11. Fourier Series of Integrable Functions
A. Supplementary Material Sets, Functions and Measures
A.1. Baire, Borel and Lebesgue
A.2. Lipschitzian functions
A.3. Bounded variation
Approximate Continuity
A.4. Density topology
A.5. Approximately continuous maps into metric spaces
Hausdorff Measure and Packing
A.6. Hausdorff dimension
A.7. Hausdorff packing Non Parametric Length and Area
A.8. Non Parametric 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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