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Currently displaying 1 – 2 of 2

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Resolvent kernel for the Kohn Laplacian on Heisenberg groups.

Askour, Neur Eddine; Mouayn, Zouhair — 2002

Electronic Journal of Differential Equations (EJDE) [electronic only]

Flensted-Jensen's functions attached to the Landau problem on the hyperbolic disc

Zouhaïr Mouayn — 2007

Applications of Mathematics

We give an explicit expression of a two-parameter family of Flensted-Jensen’s functions $Ψ_{μ, α}$ on a concrete realization of the universal covering group of $U (1, 1)$ . We prove that these functions are, up to a phase factor, radial eigenfunctions of the Landau Hamiltonian on the hyperbolic disc with a magnetic field strength proportional to $μ$ , and corresponding to the eigenvalue $4 α (α - 1)$ .

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