On the Arithmetical Properties of Certain Entire Characteristic Functions
Abstract
It is well known that the zeros of analytic characteristic functions cannot have an arbitrary location but are subject to the following restrictions: (i) the zeros of an analytic characteristic function are located symmetrically with respect to the imaginary axis.(ii) An analytic characteristic function has no zeros on the segment of the imaginary axis inside its strip of regularity. (This implies that an entire characteristic function has no purely imaginary zeros.)We show in this section that it is possible to construct entire characteristic functions of order two which have preassigned zeros, subject only to the restrictions(i) and (ii).
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1967
- Accession Number
- AD1026451
Entities
People
- Eugene Lukacs
Organizations
- The Catholic University of America