Abstract
We prove that the boundary of a bounded domain is a set of injectivity for the twisted spherical means on ℂn for a certain class of functions on ℂn. As a consequence we obtain results about injectivity of the spherical mean operator in the Heisenberg group and the complex Radon transform.
Original language | English |
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Pages (from-to) | 363-372 |
Number of pages | 10 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 5 |
Issue number | 4 |
DOIs | |
State | Published - 1999 |
Keywords
- Heisenberg group
- Hypergeometric functions
- Laguerre functions
- Spherical means
- Twisted spherical means