Harmonic Analysis on the quotient ×¹
Deitmar, Anton
Original · EN
Let G be the semidirect product ¹ of the adeles and the norm 1 ideles. Let be the discrete subgroup ×. In this paper the trace formula for this setting is established and used to give the complete decomposition of the G-representation on L²(G). It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation.
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