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This book gives a unified approach to the theory concerning a new matrix version of classical harmonic analysis. Most results in the book have their analogues as classical or newer results in harmonic analysis. It can be used as a source for further research in many areas related to infinite matrices. In particular, it could be a perfect starting point for students looking for new directions to write their PhD thesis as well as for experienced researchers in analysis looking for new problems with great potential to be very useful both in pure and applied mathematics where classical analysis has been used, for example, in signal processing and image analysis.
Sample Chapter(s)
Chapter 1: Introduction (171 KB)
Contents:
- Introduction
- Integral Operators in Infinite Matrix Theory
- Matrix Versions of Spaces of Periodical Functions
- Matrix Versions of Hardy Spaces
- The Matrix Versions of BMOA
- Matrix Versions of Bergman Spaces
- A Matrix Version of Bloch Spaces
- Schur Multipliers on Analytic Functions
Readership: Graduates and mathematicians interested in this new area of matriceal harmonic analysis but also researchers in areas using harmonic analysis, wavelets etc., e.g. signal processing and image analysis.
