Karl Gustafson is the creator of the theory of antieigenvalue analysis. Its applications spread through fields as diverse as numerical analysis, wavelets, statistics, quantum mechanics, and finance.
Antieigenvalue analysis, with its operator trigonometry, is a unifying language which enables new and deeper geometrical understanding of essentially every result in operator theory and matrix theory, together with their applications. This book will open up its methods to a wide range of specialists.
Sample Chapter(s)
Chapter 1: Introduction (106 KB)
Contents:
- Introduction
- The Original Motivation: Operator Semigroups
- The Essentials of Antieigenvalue Theory
- Applications in Numerical Analysis
- Applications in Wavelets, Control, Scattering
- The Trigonometry of Matrix Statistics
- Quantum Trigonometry
- Financial Instruments
- Other Directions
Readership: Professionals and students in applied mathematics.
