Abstract
The left regular representation L: G→U(L 2 (G)) of a locally compact and Hausdorff group G given by (L(g)u)(h) = u(g -1 h), g, h∈G, for all u in L 2 (G), has been playing a subsidiary role since its appearance in Example 5.7. In this chapter we show that it is an object of interest in its own right. We are particularly interested in the adjoints of wavelet transforms for left regular representations of unimodular groups.
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© 2002 Springer Basel AG
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Wong, M.W. (2002). Adjoints. In: Wavelet Transforms and Localization Operators. Operator Theory: Advances and Applications, vol 136. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8217-0_10
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DOI: https://doi.org/10.1007/978-3-0348-8217-0_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9478-4
Online ISBN: 978-3-0348-8217-0
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