Javad Mashreghi

Representation Theorems in Hardy Spaces

• Gebundenes Buch

Produktbeschreibung

Provides a complete description of representation theorems with direct proofs for both classes of Hardy spaces.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 384
• Erscheinungstermin: 19. März 2009
• Englisch
• Abmessung: 229mm x 155mm x 25mm
• Gewicht: 658g
• ISBN-13: 9780521517683
• ISBN-10: 0521517680
• Artikelnr.: 26008959

Autorenporträt

Professor Javad Mashreghi is Bonyan Research Chair in Mathematical Analysis in the Department of Mathematics and Statistics at Laval University, Quebec. He won the prestigious G. de B. Robinson Award of the Canadian Mathematical Society in 2004 for two long research papers published in the Canadian Journal of Mathematics. His research interests are complex and harmonic analysis and their applications in applied sciences.

Inhaltsangabe

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.