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RealVariable Methods in Harmonic Analysis (Dover Books on Mathematics)by Alberto Torchinsky
Synopses & ReviewsPublisher Comments:"A very good choice." — MathSciNet, American Mathematical Society An exploration of the unity of several areas in harmonic analysis, this selfcontained text emphasizes realvariable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the HardyLittlewood maximal function and the CalderónZygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the LittlewoodPaley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition. Book News Annotation:As an introduction to harmonic analysis for graduate students, Torchinsky (Indiana University) examines the convergence of Fourier series of functions and distributions, then develops the Muckenhoupt theory of A
Annotation ©2004 Book News, Inc., Portland, OR (booknews.com) Synopsis: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. Synopsis:An exploration of the unity of several areas in harmonic analysis, this text emphasizes realvariable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function. Examines the HardyLittlewood maximal function, the CalderónZygmund decomposition, the Hilbert transform and properties of harmonic functions, the LittlewoodPaley theory, more. 1986 edition. Table of Contents1. 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. CalderonZygmund Singular Integral Operators 12. The LittlewoodPaley 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 C1Domains Bibliography Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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