Abstract
In this paper we present an overview of the implications of our previously derived results for positive definite kernels on the gen- eral theory of positive definite functions. We begin by exploring the consequences of a set of dierential inequalities on the global behaviour of a smooth positive definite function of one real variable. Then we pro- pose a natural extension of this study to the complex variable case and derive consequences of positive definiteness for meromorphic functions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
