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 ✦
Injectivity sets for spherical means on the Heisenberg group
✍ Scribed by Mark L. Agranovsky; Rama Rawat
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 1999
- Tongue
- English
- Weight
- 449 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1069-5869
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