In this paper we prove that cylinders of the form R = S R ร , where S R is the sphere z โ 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
โฆ LIBER โฆ
Gabor fields and wavelet sets for the Heisenberg group
โ Scribed by Bradley Currey; Azita Mayeli
- Publisher
- Springer Vienna
- Year
- 2009
- Tongue
- English
- Weight
- 243 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0026-9255
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## Abstract The PaleyโWiener space __PW__ (__G__) on a stratified Lie group __G__ is defined via the spectral decomposition of the associated subโLaplacian. In this paper, we show that functions in __PW__ (โ), where โ denotes the Heisenberg group, extend to an entire function on the complexificatio