Abstract
This chapter is a brief account on unitary representations of locally compact and Hausdorff groups on separable and complex Hilbert spaces. Only the most basic topics are touched on in this chapter. The more advanced theory of squareintegrable representations is given in the next chapter. A good reference for this chapter is Chapter 3 of the book [27] by Folland. A more comprehensive treatise is the book [55] by Kirillov.
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© 2002 Springer Basel AG
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Wong, M.W. (2002). Unitary Representations. 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_5
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DOI: https://doi.org/10.1007/978-3-0348-8217-0_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9478-4
Online ISBN: 978-3-0348-8217-0
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