Abstract

We show that the Hilbert subspace of L2(G(F)﹨G(A)) generated by wave packets of Eisenstein series built from discrete series is the whole space. Together with the work of Lapid [17], it achieves a proof of the spectral theorem of R.P. Langlands ([16], [19]) based on the work of J. Bernstein and E. Lapid [6] on the meromorphic continuation of Eisenstein series built from discrete data. I use truncation on compact sets as J. Arthur did for the local trace formula in [2].

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