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Locally compact groups. --- Harmonic functions.

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This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger-Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.

Locally compact groups. --- Compact groups --- Topological groups

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Groupes localement compacts. --- Locally compact groups. --- Lokal kompakte Gruppe.

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Topological groups. Lie groups --- 512.546 --- Locally compact groups --- Compact groups --- Topological groups --- Locally compact groups. --- 512.546 Topological groups

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Biochemical engineering. --- Biotechnology. --- Génie biochimique --- Biotechnologie --- Representations of algebras --- Banach algebras --- Locally compact groups --- Fiber bundles (Mathematics) --- Banach algebras. --- Locally compact groups. --- Representations of algebras. --- Fiber bundles (Mathematics).