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.
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.
Frederick W. King is a Professor in the Department of Chemistry at the University of Wisconsin-Eau Claire.
"The author gives detailed and exhaustive information on almost all
properties of the Hilbert transform... the selected topics are
presented in an easy-to-use style."
Lasha Ephremidze, Mathematical Reviews
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