An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function. Examines the Hardy-Littlewood maximal function, the Calder?-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.

1. Fourier Series 2. Cesaro Summability 3. Norm Convergence of Fourier Series 4. The Basic Principles 5. The Hilbert Transform and Multipliers 6. Paley's Theorem and Fractional Integration 7. Harmonic and Subharmonic Functions 8. Oscillation of Functions 9. Ap Weights 10. More About Rn 11. Calderon-Zygmund Singular Integral Operators 12. The Littlewood-Paley Theory 13. The Good Lambda Principle 14. Hardy Spaces of Several Real Variables 15. Carleson Measures 16. Cauchy Integrals on Lipschitz Curves 17. Boundary Value Problems on C1-Domains

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