Representation Theorems in Hardy Spaces
By (author) Javad Mashreghi
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Representation Theorems in Hardy Spaces by Javad Mashreghi
Book DescriptionThe 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 introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane. With over 300 exercises, many with accompanying hints, this book is ideal for those studying Advanced Complex Analysis, Function Theory or Theory of Hardy Spaces. Advanced undergraduate and graduate students will find the book easy to follow, with a logical progression from basic theory to advanced research.
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Book DetailsISBN: 9780521732017
(228mm x 152mm x 18mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 19-Mar-2009
Country of Publication: United Kingdom
Books By Author Javad Mashreghi
Introduction to Model Spaces and Their Operators, Hardback (May 2016)
A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.
Primer on the Dirichlet Space, Hardback (January 2014)
The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.
Representation Theorems in Hardy Spaces, Hardback (March 2009)
Provides a complete description of representation theorems with direct proofs for both classes of Hardy spaces.
Theory of H(b) Spaces, Hardback (January 2000)» View all books by Javad Mashreghi
In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
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Author Biography - Javad Mashreghi
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.
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