Abstract
We investigate, using horospheres, the spectrum of the Laplace-Beltrami operator on pseudo hyperbolic spaces (hyperboloids), which, in general, is ultra hyperbolic. Real horospheres define only the continuous spectrum, but the discrete spectrum is connected with complex horospheres. We connect with them the horospherical Cauchy transform which acts at -cohomology. Correspondingly, for continuous spectrum we have an analogue of the Poisson problem with data on the real boundary but for the discrete spectrum - with cohomological data on the complex boundary.
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.
