Abstract
A topological group is a natural amalgam of topological spaces and groups: it is a Hausdorff space with continuous group operations. Topology adds a new flavour to representation theory. Especially interesting are compact groups, where group-invariant probability measures exist. Moreover, nice-enough functions on a compact group have Fourier series expansions, which generalise the classical Fourier series of periodic functions.
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© 2010 Birkhäuser Verlag AG
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Ruzhansky, M., Turunen, V. (2010). Topological Groups. In: Pseudo-Differential Operators and Symmetries. Pseudo-Differential Operators, vol 2. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8514-9_12
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DOI: https://doi.org/10.1007/978-3-7643-8514-9_12
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8513-2
Online ISBN: 978-3-7643-8514-9
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