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›› 2009, Vol. 26 ›› Issue (1): 1-8.DOI: 10.7523/j.issn.2095-6134.2009.1.001

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Several new versions of Hardy's uncertainty principles on harmonic NA groups

Tang Su-Fang, Niu Peng-Cheng   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2009-01-15

Abstract:

We generalize two versions of Hardy's uncertainty principles due to Morgan and Cowling-Price in the real line R to harmonic NA groups. To do so, we use the Radon transforms and its relation with the Helgason-Fourier transformations on the class of the groups.

Key words: Hardys uncertainty principle, harmonic NA group, Helgason-Fourier transform, Radon transform