On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations
On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations
Abstract In this paper we describe several new aspects of the foundations of the representation theory of the space of smooth-automorphic forms (i.e., not necessarily $$K_\infty $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>K</mml:mi> <mml:mi>∞</mml:mi> </mml:msub> </mml:math> -finite automorphic forms) for general connected reductive groups over number fields. Our role model for this …