Abstract
In this paper, we develop a theory of integrable delta functions on the Levi-Civita field R as well as on R2 and R3 with similar properties to the one-dimensional, two-dimensional and three-dimensional Dirac Delta functions and which reduce to them when restricted to points in R, R2 and R3, respectively. First we review the recently developed Lebesgue-like measure and integration theory over R, R2 and R3. Then we introduce delta functions on R, R2 and R3 that are integrable in the context of the aforementioned integration theory; and we study their properties and some applications.
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 callMore From: p-Adic Numbers, Ultrametric Analysis and Applications
Disclaimer: 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.
