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Local and multilinear noncommutative de Leeuw theorems

Local and multilinear noncommutative de Leeuw theorems

Abstract Let $$\Gamma &lt; G$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Γ</mml:mi> <mml:mo>&lt;</mml:mo> <mml:mi>G</mml:mi> </mml:mrow> </mml:math> be a discrete subgroup of a locally compact unimodular group G . Let $$m\in C_b(G)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>m</mml:mi> <mml:mo>∈</mml:mo> <mml:msub> <mml:mi>C</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>G</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> be a p -multiplier on G …