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Integrability properties of quasi-regular representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mi>A</mml:mi></mml:mrow></mml:math> groups
Let G=N⋊A, where N is a graded Lie group and A=ℝ + acts on N via homogeneous dilations. The quasi-regular representation π=ind A G (1) of G can be realised to act on L 2 (N). It is shown that for a class of analysing vectors the associated wavelet transform …