Abstract
This chapter is devoted to a fairly detailed development of the theory of square integrable group representations. We have already seen examples of such representations. Indeed, the discrete series representations, Uj of SU(1, 1), discussed in Chapter 4, Section 4.2.2, are square integrable.
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© 2000 Springer Science+Business Media New York
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Ali, S.T., Antoine, JP., Gazeau, JP. (2000). Coherent States from Square Integrable Representations. In: Coherent States, Wavelets and Their Generalizations. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1258-4_8
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DOI: https://doi.org/10.1007/978-1-4612-1258-4_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7065-2
Online ISBN: 978-1-4612-1258-4
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