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1. CMB Online first
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Free Groups Generated by Two Heisenberg Translations In this paper, we will discuss the groups generated by two
Heisenberg translations of $\mathbf{PU}(2,1)$ and determine when they are free.
Keywords:free group, Heisenberg group, complex triangle group Categories:30F40, 22E40, 20H10 |
2. CMB 2004 (vol 47 pp. 389)
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An Inversion Formula of the Radon Transform Transform on the Heisenberg Group In this paper we give an inversion formula of the Radon transform on the
Heisenberg group by using the wavelets defined in [3]. In addition, we
characterize a space such that the inversion formula of the Radon transform
holds in the weak sense.
Keywords:wavelet transform, Radon transform, Heisenberg group Categories:43A85, 44A15 |
3. CMB 2001 (vol 44 pp. 346)
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Positive Solution of a Subelliptic Nonlinear Equation on the Heisenberg Group In this paper, we establish the existence of positive solution of a
nonlinear subelliptic equation involving the critical Sobolev exponent on
the Heisenberg group, which generalizes a result of Brezis and
Nirenberg in the Euclidean case.
Keywords:Heisenberg group, subLapacian, critical Sobolev exponent, extremals Categories:35J20, 35J60 |