Agranovsky, ML and Narayanan, EK
(2003)
*A Local Two Radii Theorem for the Twisted Spherical Means on $C^n$.*
In: Complex Analysis and Dynamical Systems II, June 9-12, 2003, Nahariya, Israel, pp. 13-27.

## Abstract

We prove a local two radii theorem for twisted spherical means on $C^n$. More precisely, if the twisted convolutions $f \times \mu_r_1 = f \times \mu_r_2$ = 0 in a ball $B_R$ and $r_1 + r_2$ < R, then $f$ is the zero function provided the confluent hypergeometric function $1_F_1(a,n,\frac{r^2}{2})$ does not vanish simultaneously at the points $r_1$ and $r_2$ for any a \epsilon R.

Item Type: | Conference Paper |
---|---|

Publication: | Complex analysis and dynamical systems II |

Publisher: | American Mathematical Society |

Additional Information: | Copyright of this article belongs to American Mathematical Society. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 22 Jul 2008 |

Last Modified: | 27 Aug 2008 13:37 |

URI: | http://eprints.iisc.ac.in/id/eprint/15156 |

### Actions (login required)

View Item |