Written in a style that suits a wide audience (including physical sciences), this book will become the reference of choice on the Hilbert transform, whatever the subject background of the reader. It explains all the common Hilbert transforms, mathematical techniques for evaluating them, and has detailed discussions of their application.
Über den Autor
Frederick W. King is a Professor in the Department of Chemistry at the University of Wisconsin-Eau Claire.
Inhaltsverzeichnis
Preface; List of symbols; List of abbreviations; Volume II: 15. Hilbert transforms in En; 16. Some further extensions of the classical Hilbert transform; 17. Linear systems and causality; 18. The Hilbert transform of waveforms and signal processing; 19. Kramers¿Kronig relations; 20. Dispersion relations for some linear optical properties; 21. Dispersion relations for magneto-optical and natural optical activity; 22. Dispersion relations for nonlinear optical properties; 23. Some further applications of Hilbert transforms; Appendix 1. Table of selected Hilbert transforms; Appendix 2. Atlas of selected Hilbert transform pairs; References; Subject index; Author index.
Klappentext
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.