Abstract
We obtain a differential equation for the spherical means generated by a multidimensional generalized shift of an arbitrary smooth âevenâ function. We study the Asgeirsson property of solutions of a singular ultrahyperbolic equation that includes singular differential operators Î B acting in Euclidean spaces, in general, of distinct dimensions. We represent the structure of a âradialâ solution of the considered equation. A theorem similar to the Asgeirsson inverse theorem is proved.
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.
