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Unitary Representations of locally compact abelian groups

Alain Valette, Bachir Bekka, Pierre de la Harpe   +2 more
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Unitary representations of locally compact groups. Reproduction of Gelfand-Raikov's theorem

Unitary representations of locally compact groups. Reproduction of Gelfand-Raikov's theorem
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Different Irreducible Decompositions of Unitary Representations of Locally Compact Non-type I Groups

Different Irreducible Decompositions of Unitary Representations of Locally Compact Non-type I Groups
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Unitary Representations of Locally Compact Groups

Universitext, 2015
As was mentioned in n° 15 and 23, a representation of a lcg G is a homomorphism \(x\mapsto\;U(x)\) from G to the group of invertible continuous operators of a Banach space \( \mathcal{H}\) such that the map \( x\longmapsto\;U(x)\boldsymbol{\rm{a}}\) is continuous for all \(\boldsymbol{\rm{a}} \in \mathcal{H}\).
Roger Godement, Godement Roger
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Unitary Representations of Locally Compact Groups I

Annals of Mathematics, 1950
We continue the study of unitary representations of locally compact groups begun in (3). Whereas (3) dealt to a large extent with discrete groups, the problems of the present paper are mainly relevant in the case of nondiscrete groups. Let g -+ U(g) be a unitary representation U of a group G by means of unitary operators U(g) acting in a separable ...
F I Mautner
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Unitary Representations of Inductive Limits of Commutative Locally Compact Groups

Mathematics and Its Applications Soviet Series, 1991
This section could also be called: families of commuting unitary operators. But here we will be mainly concerned with commutative groups of unitary operators, the study of which is reduced to the study of countable collections of commuting self-adjoint operators.
Y S Samoilenko, Samoilenko Y S
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Unitary representations of the groups GL(2) and GU(2) over an unconnected locally compact quaternion field

Functional Analysis and Its Applications, 1973
G I Ol'Shanskiĭ, Ol'Shanskiĭ G I
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Unitary Representations of Locally Compact Groups

exaly   +2 more sources