On Harish-Chandra’s $\mu $-function for $p$-adic groups
On Harish-Chandra’s $\mu $-function for $p$-adic groups
The Harish-Chandra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="mu"> <mml:semantics> <mml:mi>μ<!-- μ --></mml:mi> <mml:annotation encoding="application/x-tex">\mu</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-function is, up to known constant factors, the Plancherel’s measure associated to an induced series of representations. In this paper we show that, when the series is induced from special representations lifted to a parabolic …