Abstract
Consider arbitrary nonzero real numbers a1;:::;ak. An (a1;:::;ak)-decomposition of a function f : R! R is a sum f1 + +fk = f where fi : R! R is an ai-periodic function. Such a decomposition is not unique because there are several solutions of the equation h1 + + hk = 0 (hi : R! R is ai-periodic). We will give solutions of this equation with a certain simple structure (trivial solutions) and study whether there exist other solutions or not. If not, we say that the (a1;:::;ak)-decomposition is essentially unique. We characterize those periods for which essentially uniqueness holds.
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.
