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Analysis on the Heisenberg Group
2009Here we build on the material in Chapter 3 to prove some fairly profound results about the boundedness of the Szegő integral operator on the boundary of the unit ball. All the key ideas about singular integrals, homogeneous dimension, the Calderon-Zygmund theory, and interpolation of operators come into play.
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Curvature of the Heisenberg Group
2017We compute the Riemannian curvature of the Heisenberg group and then contract it to the sectional curvature, Ricci curvature and the scalar curvature of the Heisenberg group. The main result so obtained is that the Heisenberg group is a space of constant positive scalar curvature.
M. W. Wong, Bartek Ewertowski
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, 2013 1998
Many problems on the Heisenberg group do not have satisfactory answers due to the fact that the centre is not compact. We have observed this in connection with the restriction theorem, the Wiener-Tauberian theorem and the maximal theorem for the spherical means.
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Many problems on the Heisenberg group do not have satisfactory answers due to the fact that the centre is not compact. We have observed this in connection with the restriction theorem, the Wiener-Tauberian theorem and the maximal theorem for the spherical means.
openaire +2 more sources