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Harmonic analysis on the Lobachevsky-Galilei plane

Annotation

Let Λ be the algebra of dual numbers. The group G of pseudo-unitary matrices over Λ acts on the Lobachevsky-Galilei plane , Λ. We decompose into irreducible constituents the quasi-regular representation of G and also the representation induced by a character of the diagonal subgroup.

Keywords

dual numbers; homogeneous spaces; induced representations; Plancherel formula.

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UDC

517.98

Pages

706-707

Section of issue

Scientific articles

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