The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Frederick W. King is a Professor in the Department of Chemistry at the University of Wisconsin-Eau Claire.
Inhaltsangabe
Preface List of symbols List of abbreviations Volume I: 1. Introduction 2. Review of some background mathematics 3. Derivation of the Hilbert transform relations 4. Some basic properties of the Hilbert transform 5. Relationship between the Hilbert transform and some common transforms 6. The Hilbert transform of periodic functions 7. Inequalities for the Hilbert transform 8. Asymptotic behavior of the Hilbert transform 9. Hilbert transforms of some special functions 10. Hilbert transforms involving distributions 11. The finite Hilbert transform 12. Some singular integral equations 13. Discrete Hilbert transforms 14. Numerical evaluation of Hilbert transforms References Subject index Author index 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.
Preface List of symbols List of abbreviations Volume I: 1. Introduction 2. Review of some background mathematics 3. Derivation of the Hilbert transform relations 4. Some basic properties of the Hilbert transform 5. Relationship between the Hilbert transform and some common transforms 6. The Hilbert transform of periodic functions 7. Inequalities for the Hilbert transform 8. Asymptotic behavior of the Hilbert transform 9. Hilbert transforms of some special functions 10. Hilbert transforms involving distributions 11. The finite Hilbert transform 12. Some singular integral equations 13. Discrete Hilbert transforms 14. Numerical evaluation of Hilbert transforms References Subject index Author index 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.
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