| Description |
2 volumes : illustrations ; 24 cm. |
| Series |
Encyclopedia of mathematics and its applications ; 124-125
|
|
Encyclopedia of mathematics and its applications ; v. 124-125.
|
| Bibliography |
Includes bibliographical references and indexes. |
| Contents |
Volume 1 -- 1. Introduction -- 2. Review of some background mathematics -- 3. Derication of the hilbert transforms relations -- 4. Some basic properties of the hilbert transform -- 5. Relationship bewteen 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 speical functions -- 10 Hilbert transforms involving distributions -- 11. The finite hilbert transforms -- 12. Some singular integral equations -- 13. Discrete hilbert transforms -- 14. Numerical evaluation of hilbert transforms -- Volume 2 -- 15. Hilbert transforms in E -- 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 seleted hilert-transforms -- Appendix 2 Atlas of selected hilbert transform pairs |
| Subject |
Hilbert transform.
|
|
Hilbert transform. |
| ISBN |
9780521517201 v. 2 |
|
9780521887625 v. 1 |
|
0521887623 v. 1 |
|
0521517206 v. 2 |
|
