Description
DOVER PUBLICATIONS Real-Variable Methods In Harmonic Analysis 1986 Edition by TORCHINSKY ALBERTO
This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition. 1. Fourier Series2. Cesaro Summability3. Norm Convergence of Fourier Series4. The Basic Principles5. The Hilbert Transform and Multipliers6. Paley's Theorem and Fractional Integration7. Harmonic and Subharmonic Functions8. Oscillation of Functions9. Ap Weights10. More About Rn11. Calderon-Zygmund Singular Integral Operators12. The Littlewood-Paley Theory13. The Good Lambda Principle14. Hardy Spaces of Several Real Variables15. Carleson Measures16. Cauchy Integrals on Lipschitz Curves17. Boundary Value Problems on C1-DomainsBibliographyIndex