Representation Theorems in Hardy Spaces by Javad Mashreghi
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.-
Hyperbolic Geometry from a Local Viewpoint
-
Undergraduate Algebraic Geometry
-
The Prime Number Theorem
-
Elements of the Representation Theory of Associative Algebras: Volume 2, Tubes and Concealed Algebras of Euclidean type
-
Notes on Hamiltonian Dynamical Systems
-
LMSST: 24 Lectures on Elliptic Curves
-
A Brief Guide to Algebraic Number Theory
-
Designs, Graphs, Codes and their Links
-
Logic, Induction and Sets
-
Fourier Analysis on Finite Groups and Applications
-
Introduction to Combinators and (lambda) Calculus
-
Introduction to Approximate Groups
-
The Block Theory of Finite Group Algebras
-
Hyperbolic Geometry
-
Random Graphs, Geometry and Asymptotic Structure
-
Undergraduate Commutative Algebra
- Nearly Invariant Subspaces and their Applications
-
Differential Topology
-
Celestial Mechanics
-
Sets and Transfinite Algebra
-
The Shrikhande Graph
-
Topics in Cyclic Theory
-
An Introduction to the Theory of Graph Spectra
-
Clifford Algebras: An Introduction
-
The Riemann Hypothesis for Function Fields
-
Introduction to Banach Algebras, Operators, and Harmonic Analysis
-
Fast Track to Forcing
-
The Block Theory of Finite Group Algebras: Volume 1
-
Computational Algebraic Geometry
-
Lectures on Kahler Geometry
-
Fourier Analysis: Volume 1, Theory
-
Semigroups of Linear Operators
-
An Introduction to Noncommutative Noetherian Rings
-
The Calculus of Braids
-
A Gentle Introduction to Homological Mirror Symmetry
-
Set Theory
-
Tensor Products of C*-Algebras and Operator Spaces
-
Introductory Lectures on Rings and Modules
"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 spacesAnyone teaching a course that includes Hardy spaces would find it a good source for homework problems." Peter Rosenthal, CMS Notes
"... self-contained and clearly written text... The main strength of this book is a large number of exercises (over 300), which makes it a good textbook choice." Marcin M. Bownik, Mathematical Reviews
"... self-contained and clearly written text... The main strength of this book is a large number of exercises (over 300), which makes it a good textbook choice." Marcin M. Bownik, Mathematical Reviews
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.
| SKU | Unavailable |
| ISBN 13 | 9780521732017 |
| ISBN 10 | 0521732018 |
| Title | Representation Theorems in Hardy Spaces |
| Author | Javad Mashreghi |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2009-03-19 |
| Number of pages | 384 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |