Orbital integrals on Lorentzian symmetric spaces
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DOI: 10.1016/j.geomphys.2018.12.005
Abstract: Abstract In this paper, we address the problem of determining a function in terms of its orbital integrals on Lorentzian symmetric spaces. It has been solved by Helgason (1959) for even-dimensional isotropic Lorentzian symmetric spaces… read more here.
Keywords: orbital integrals; symmetric spaces; geometry; isotropic ... See more keywords
Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry
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DOI: 10.1017/fms.2024.115
Abstract: Abstract Let G be a linear real reductive Lie group. Orbital integrals define traces on the group algebra of G. We introduce a construction of higher orbital integrals in the direction of higher cyclic cocycles… read more here.
Keywords: higher orbital; algebra; orbital integrals; integrals cyclic ... See more keywords