continuous unitary representationの例文

例文

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1. However, it is known that a Borel measurable unitary representation is equal almost everywhere ( with respect to Haar measure ) to a strongly continuous unitary representation.
2. This extends uniquely to a representation of its multiplier algebra C _ b ( \ widehat { G } ) and therefore a strongly continuous unitary representation " U g ".
3. The proof of the theorem passes through vector states on strongly continuous unitary representations of " G " ( the proof in fact shows every normalized continuous positive definite function must be of this form ).
4. Then the Stone von Neumann theorem is that, given the standard quantum mechanical scale ( effectively, the value of'
   ), every strongly continuous unitary representation is unitarily equivalent to the standard representation with position and momentum.
5. G錼ding showed in 1947 that, if " G " is a Lie group, then a G錼ding domain for " U " consisting of infinitely differentiable vectors exists for each continuous unitary representation of " G ".