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Representation theorems in Hardy spaces

Author: Javad Mashreghi; London Mathematical Society.
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2009.
Series: London Mathematical Society student texts, 74.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular integrals, potential theory and operator theory, and has found essential applications in robust control engineering. For each application, the ability to represent elements of these classes by series or integral formulas is of utmost importance. This self-contained text provides an  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Mashreghi, Javad.
Representation theorems in Hardy spaces.
Cambridge, UK ; New York : Cambridge University Press, 2009
(DLC) 2009288132
(OCoLC)244653541
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Javad Mashreghi; London Mathematical Society.
ISBN: 9780511814525 0511814526
OCLC Number: 847520386
Description: 1 online resource (xii, 372 pages) : illustrations.
Contents: 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.
Series Title: London Mathematical Society student texts, 74.
Responsibility: Javad Mashreghi.

Abstract:

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

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"Mathematicians working on related topics should find it a useful reference for statements and proofs of many of the classical results related the the Hardy spaces. Anyone teaching a course that Read more...

 
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