Real and Complex Analysis,3e
Author: Walter Rudin
Publisher: McGraw Hill Education
Content:
- Abstract Integration
- Positive Borel Measures
- Lp-Spaces
- Elementary Hilbert Space Theory
- Examples of Banach Space Techniques
- Complex Measures
- Differentiation
- Integration on Product Spaces
- Fourier Transforms
- Elementary Properties of Holomorphic Functions
- Harmonic Functions
- The Maximum Modulus Principle
- Approximation by Rational Functions
- Conformal Mapping
- Zeros of Holomorphic Functions
- Analytic Continuation
- Hp-Spaces
- Elementary Theory of Banach Algebras
- Holomorphic Fourier Transforms
- Uniform Approximation by Polynomials
Appendix: Hausdorff’s Maximality Theorem
Notes and Comments
Bibliography
List of Special Symbols
Index
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