Wilson's functional equations on groups.
Wilson's functional equations on groups. (Summary).
D'Alembert's equation and spherical functions.
Wilson's functional equation on C.
On a signed cosine equation of N summands. (Summary).
On a signed cosine equation of N summands.
Invariant Pseudo-Differential Operators.
Representations of groups on eigenspaces of invariant differential operators
D'Alembert's functional equation on groups
Given a (not necessarily unitary) character μ:G → (ℂ∖0,·) of a group G we find the solutions g: G → ℂ of the following version of d’Alembert’s functional equation , x,y ∈ G. (*) The classical equation is the case of μ = 1 and G = ℝ. The non-zero solutions of (*) are the normalized traces of certain representations of G on ℂ². Davison proved this via his work [20] on the pre-d’Alembert functional equation on monoids. The present paper presents a detailed exposition of these results working directly...
A Generalization of a Theorem of Wienholtz Concerning Essential Selfadjointness of Singular Elliptic Operators.
Eigenspace representations of nilpotent lie groups.
Ultra-irreducibility of induced representations.
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