Hilbert Transforms: Volume 2

ISBN-13: 9780521517201 / Angielski / Twarda / 2009 / 700 str.

Frederick W. King

Opis

The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.

Recenzje

'… every scientist dealing with the Hilbert transform in his or her research will find valuable material in this work.' Lasha Ephremidze, Mathematical Reviews

Spis treści

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.