The half-Hartley and the half-Hilbert transform

Virginia TechPaverifontana, S. L.Zweifel, Paul F.2014-04-092014-04-091994-05Paverifontana, S. L.; Zweifel, P. F., "The half-Hartley and the half-Hilbert transform," J. Math. Phys. 35, 2648 (1994); http://dx.doi.org/10.1063/1.5305290022-2488http://hdl.handle.net/10919/47090Inversion formulas are obtained for the restrictions of the Hartley and Hilbert transforms to R+. Regularity results are derived, and an illustrative example presented.application/pdfenIn Copyrighthilbert transformsThe half-Hartley and the half-Hilbert transformArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/35/5/10.1063/1.530529Journal of Mathematical Physicshttps://doi.org/10.1063/1.530529