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In mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G. Its importance lies in the reduction of the theory of uniformly almost periodic functions on G to the theory of continuous functions on H. The concept is named after Harald Bohr who pioneered the study of almost periodic functions, on the real line.
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In mathematics, the Bohrcompactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G...
is to characterize the Bohrcompactification of an arbitrary abelian locally compact topological group. The Bohrcompactification B ( G ) {\displaystyle...
particular, homeomorphic spaces have isomorphic Alexandroff extensions. Bohrcompactification – compact Hausdorff group associated to a topological groupPages...
for t in (−∞, +∞). The Bohr almost periodic functions are essentially the same as continuous functions on the Bohrcompactification of the reals. The space...
reactions from influential Scandinavians, including Bohr. Bohr–Mollerup theorem BohrcompactificationBohr–Favard inequality Danish Mathematical Society List...
'against nature'. This happens for example in the theory of the Bohrcompactification, and in group cohomology theory of Lie groups. A discrete isometry...
Kronecker's theorem on diophantine approximation Almost periodic function Bohrcompactification Wiener's tauberian theorem Representation of a Lie group Unitary...
Stockholm he spent half of the time there and half of the time at the Niels Bohr Institute in Copenhagen. In the 1970s Di Vecchia was one of the pioneers...
need to be compactified on a Calabi–Yau manifold. (In string theory, compactification is a generalization of Kaluza–Klein theory, which was first proposed...