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Bohr compactification information


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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Bohr compactification

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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...

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Pontryagin duality

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is to characterize the Bohr compactification of an arbitrary abelian locally compact topological group. The Bohr compactification B ( G ) {\displaystyle...

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Alexandroff extension

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particular, homeomorphic spaces have isomorphic Alexandroff extensions. Bohr compactification – compact Hausdorff group associated to a topological groupPages...

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Almost periodic function

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for t in (−∞, +∞). The Bohr almost periodic functions are essentially the same as continuous functions on the Bohr compactification of the reals. The space...

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Harald Bohr

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reactions from influential Scandinavians, including Bohr. Bohr–Mollerup theorem Bohr compactification Bohr–Favard inequality Danish Mathematical Society List...

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Discrete group

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'against nature'. This happens for example in the theory of the Bohr compactification, and in group cohomology theory of Lie groups. A discrete isometry...

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List of topologies

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topology Weak topology Compactifications include: Alexandroff extension Projectively extended real line Bohr compactification Eells–Kuiper manifold Projectively...

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List of harmonic analysis topics

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Kronecker's theorem on diophantine approximation Almost periodic function Bohr compactification Wiener's tauberian theorem Representation of a Lie group Unitary...

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Paolo Di Vecchia

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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...

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List of theorems

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analysis) Bogoliubov–Parasyuk theorem (quantum field theory) Bohr–Mollerup theorem (gamma function) Bohr–van Leeuwen theorem (physics) Bolyai–Gerwien theorem...

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History of string theory

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need to be compactified on a Calabi–Yau manifold. (In string theory, compactification is a generalization of Kaluza–Klein theory, which was first proposed...

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