Hilbert Transforms: Volume 1

ISBN-13: 9780521887625 / Angielski / Twarda / 2009 / 896 str.

Frederick W. King; Fred King

Opis

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

Recenzje

"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

Spis treści

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.