Abstract

We give in this note a generalisation of the following theorem of Henkin and Passare (cf. (7) and (8)) : Let be Y an analytic subvariety of pure codimension p in a linearly p−concave domain U, and ω a meromorphic q−form (q > 0) on Y ; if the Abel-Radon transform R(ω ∧ (Y )), which is meromorphic on U ∗ , has a meromorphic prolongation to ˜ U ∗ containing U ∗ , then Y extends as an analytic subvariety ˜

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 call

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.