TY - BOOK AU - Mashreghi, Javad AU - Mashreghi, Javad TI - Representation Theorems in Hardy Spaces T2 - London Mathematical Society student texts, 74 SN - 9780521732017 U1 - 515.94 MAS PY - 2009/// CY - New York PB - :Cambridge University Press KW - Mathematics KW - Analysis KW - Hardy spaces KW - Analytic functions KW - Hardy-Raum KW - Integralformel N1 - Fourier series -- Abel-Poisson means -- Harmonic functions in the unit disc -- Logarithmic convexity -- Analytic functions in the unit disc -- Norm inequalities for the conjugate function -- Blaschke products and their applications -- Interpolating linear operators -- The Fourier transform -- Poisson integrals -- Harmonic functions in the upper half plane -- The Plancherel transform -- Analytic functions in the upper half plane -- The Hilbert transform on R -- Topics from real analysis -- A panoramic view of the representation theorems N2 - Gives a complete description of representation theorems with direct proofs for both classes of Hardy spaces. Clear and concise, it features over 300 exercises and is ideal for advanced undergraduate and graduate students taking courses in Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces. ER -