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Showing 1 to 2 of 2 for “"Laguerre functions"”.
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Laguerre functions associated to Euclidean Jordan algebras
Certain differential recursion relations for the Laguerre functions, defined on a symmetric cone Ω, can be derived from the representations of a specific Lie algebra on L<sup>2</sup>(Ω,dμ<sub>v</sub>). This Lie algebra is the corresponding Lie algebra of the Lie group G that acts on the tube domain …
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Spectral problems on triangles and disks: Extremizers and ground states
… unit disk. We find an orthonormal basis of eigenfunctions for the magnetic Laplacian on a disk with Dirichlet boundary condition and explicitly identify the ground state of the magnetic Laplacian. Then we have the symmetry of eigenfunctions and eigenvalues with respect to angular momentum and …