The Equivalence of Certain Norms on the Heisenberg Group - Advances in Pure Mathematics

APM > Vol.3 No.6, September 2013

The Equivalence of Certain Norms on the Heisenberg Group ()

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DOI: 10.4236/apm.2013.36073 3,862 Downloads 6,837 Views Citations

Author(s)

Murphy E. Egwe

Affiliation(s)

Department of Mathematics, Universty of Ibadan, Ibadan, Nigeria.

ABSTRACT

Let IHn be the (2n+1)-dimensional Heisenberg group. In this paper, we shall give among other things, the properties of some homogeneous norms relative to dilations on the IHn and prove the equivalence of these norms.

KEYWORDS

Heisenberg Group; Heisenberg Norms; Equivalent Norms; Homogeneous Group

Share and Cite:

M. Egwe, "The Equivalence of Certain Norms on the Heisenberg Group," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 576-578. doi: 10.4236/apm.2013.36073.

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