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Square integrable representations of semisimple Lie groups

Square integrable representations of semisimple Lie groups

Let <italic>D</italic> be a bounded symmetric domain. Let <italic>G</italic> be the universal covering group of the identity component <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper A 0 left-parenthesis upper D right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>0</mml:mn> </mml:msub> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>D</mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">{A_0}(D)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of …