Mashreghi, Javad creator Mashreghi, Javad text New York :Cambridge University Press , 2009 monographic eng

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xii, 372p. 24 cm 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. 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. / Javad Mashreghi; Mathematics Analysis Hardy spaces Analytic functions Hardy-Raum Integralformel Analytic functions Hardy spaces 515.94 MAS 9780521732017 :Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035 220411 20220411104455.0