ENGLISH

Representation Theorems in Hardy Spaces

By Javad Mashreghi

Book information

Publisher
Cambridge University Press
Year
2009
ISBN
9780521517683, 0521517680, 9780521732017, 0521732018
LCC
QA331 .M4175 2009
Open Library ID
OL23834897M
Language
english
Format
PDF
Filesize
3 MB (3052223 bytes)
Series
London Mathematical Society student texts 74
Edition
1
Pages
384\384
Library
Kolxo3
Time added
2009-12-04 00:34:26

Description

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 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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