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Green’s function for certain domains in the Heisenberg group "Equation missing" <!-- No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -->
Abstract We obtain an explicit smooth kernel which works as the Green’s function when applied to circular functions for annular and strip shaped domains in the Heisenberg group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>n</mml:mi> </mml:msub> </mml:math> by using the Kelvin transform and its generalizations. MSC: 22E30, 34B27.