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Locality of the number
of particles operator
M. Ann Piech |
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Vol. 61 (1975), No. 1, 259–262
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Abstract |
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We view the number of particles operator N as the infinitesimal generator of the Ornstein-Uhlenbeck semigroup in an abstract Wiener setting. It is shown that if two functions f, g in the domain of N agree a.e. on an open set 𝒪, then Nf = Ng on 𝒪. The restriction of N to a large core acts as an infinite dimensional partial differential operator L, and it is shown that L may be defined locally in an Lloc2 setting. |
Mathematical Subject Classification
Primary: 81.47, 81.47
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Milestones
Received: 11 July 1975
Published: 1 November 1975
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Authors |
| M. Ann Piech | |
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