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Homeomorphisms in Analysis : Mathematical Surveys and Monographs - Casper Goffman

Homeomorphisms in Analysis

Mathematical Surveys and Monographs


Published: January 1997
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This work 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, C ]n and C ]*w functions, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.

The One Dimensional Case: Subsets of $\mathbb{R}$
Baire class 1 Differentiability classes
The derivative function
Mappings and Measures on ${\mathbb R}^n$: Bi-Lipschitzian homeomorphisms
Approximation by homeomorphisms
Measures on $\mathbb{R}^n$ Blumberg's theorem
Fourier Series: Improving the behavior of Fourier series
Preservation of convergence of Fourier series
Fourier series of integrable functions
Supplementary material
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780821806142
ISBN-10: 0821806149
Series: Mathematical Surveys and Monographs
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 256
Published: January 1997
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 26.67 x 19.05  x 1.27
Weight (kg): 0.64