Functional Analysis : : Introduction to Further Topics in Analysis / / Rami Shakarchi, Elias M. Stein.
This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, an...
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Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2012 |
Year of Publication: | 2011 |
Language: | English |
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Physical Description: | 1 online resource (448 p.) :; 27 line illus. |
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Table of Contents:
- Frontmatter
- Foreword
- Contents
- Preface to Book IV
- 1. Lp Spaces and Banach Spaces
- 2. Lp Spaces in Harmonic Analysis
- 3. Distributions: Generalized Functions
- 4. Applications of the Baire Category Theorem
- 5. Rudiments of Probability Theory
- 6. An Introduction to Brownian Motion
- 7. A Glimpse into Several Complex Variables
- 8. Oscillatory Integrals in Fourier Analysis
- Notes and References
- Bibliography
- Symbol Glossary
- Index