We investigate relationships between the structure of a real object of compact support and the realness of the zeros of its Fourier transform. We introduce a necessary condition, and some sufficient conditions are presented for one-dimensional functions. A very useful property of the sinc function is also presented.
© 1999 Optical Society of America
Original Manuscript: November 13, 1998
Revised Manuscript: February 23, 1999
Manuscript Accepted: February 23, 1999
Published: July 1, 1999
A. J. Noushin, M. A. Fiddy, and J. Graham-Eagle, "Some new findings on the zeros of band-limited functions," J. Opt. Soc. Am. A 16, 1857-1863 (1999)