In this paper we prove that cylinders of the form R = S R × , where S R is the sphere z ∈ n z = R , are injectivity sets for the spherical mean value operator on the Heisenberg group H n in L p spaces. We prove this result as a consequence of a uniqueness theorem for the heat equation associated to
✦ LIBER ✦
On the injectivity of twisted spherical means on ℂn
✍ Scribed by G. Sajith; S. Thangavelu
- Publisher
- The Hebrew University Magnes Press
- Year
- 2001
- Tongue
- English
- Weight
- 530 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0021-2172
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