Abstract
In this chapter we develop elements of Fourier analysis on the group SU(2) in a form suitable for the consequent development of the theory of pseudo-differential operators on SU(2) in Chapter 12. Certain results from this chapter can be found in [148], which, together with [154] we can recommend for further reading, including for some instances of explicitly calculated Clebsch-Gordan coefficients. However, on this occasion, with pseudo-differential operators in mind and the form of the analysis necessary for us and adopted to Chapter 10, we present an independent exposition of SU(2) with considerably more direct proofs and different arguments compared to, e.g., [148].
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© 2010 Birkhäuser Verlag AG
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Ruzhansky, M., Turunen, V. (2010). Fourier Analysis on SU(2). In: Pseudo-Differential Operators and Symmetries. Pseudo-Differential Operators, vol 2. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8514-9_16
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DOI: https://doi.org/10.1007/978-3-7643-8514-9_16
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8513-2
Online ISBN: 978-3-7643-8514-9
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