Titlebook: Harmonic Analysis on Exponential Solvable Lie Groups; Hidenori Fujiwara,Jean Ludwig Book 2015 Springer Japan 2015 Exponential solvable Lie

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Plancherel Formula,As before, let . be an exponential solvable Lie group with Lie algebra ., . and consider .. We denote by . the unit element of .. Since every . is an . .-function [63] on ., . is defined by .. In this chapter, we shall be interested in the .[59] and Bonnet [12] applied to the cyclic representation (.,?. .).

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Commutativity Conjecture: Restriction Case,As Frobenius reciprocity suggests, there is a kind of duality between the induction and the restriction of representations. Under this guiding principle, let us formulate and prove for the restriction of representations the counterpart of the commutativity conjecture. These results were obtained by [6].

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