Plancherel formula for $${{\,\mathrm{\mathrm {GL}}\,}}_n(F){\backslash } {{\,\mathrm{\mathrm {GL}}\,}}_n(E)$$ and applications to the Ichino–Ikeda and formal degree conjectures for unitary groups
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DOI: 10.1007/s00222-021-01032-6
Abstract: We establish an explicit Plancherel decomposition for $${{\,\mathrm{\mathrm {GL}}\,}}_n(F){\backslash } {{\,\mathrm{\mathrm {GL}}\,}}_n(E)$$ where E/F is a quadratic extension of local fields of characteristic zero by making use of a local functional equation for Asai $$\gamma… read more here.
Keywords: mathrm mathrm; mathrm; mathrm backslash; ichino ikeda ... See more keywords
COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA CONJECTURE FOR UNITARY GROUPS
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DOI: 10.1017/s1474748019000707
Abstract: Abstract In this paper, we prove a conjecture of Wei Zhang on comparison of certain local relative characters from which we draw some consequences for the Ichino–Ikeda conjecture for unitary groups. read more here.
Keywords: ikeda conjecture; conjecture unitary; conjecture; ichino ikeda ... See more keywords