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Representation Theorems in Hardy Spaces

Javad Mashreghi
Publisher: 
Cambridge University Press
Publication Date: 
2009
Number of Pages: 
372
Format: 
Paperback
Series: 
London Mathematical Society Student Texts 74
Price: 
48.00
ISBN: 
9780521732017
Category: 
Textbook
We do not plan to review this book.

Preface; 1. Fourier series; 2. Abel–Poisson means; 3. Harmonic functions in the unit disc; 4. Logarithmic convexity; 5. Analytic functions in the unit disc; 6. Norm inequalities for the conjugate function; 7. Blaschke products and their applications; 8. Interpolating linear operators; 9. The Fourier transform; 10. Poisson integrals; 11. Harmonic functions in the upper half plane; 12. The Plancherel transform; 13. Analytic functions in the upper half plane; 14. The Hilbert transform on R; A. Topics from real analysis; B. A panoramic view of the representation theorems; Bibliography; Index.

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