Math @ Duke

Publications [#244027] of Michael C. Reed
Papers Published
 Reed, M; Rosen, L, Support properties of the free measure for Boson fields,
Communications in Mathematical Physics, vol. 36 no. 2
(1974),
pp. 123132, ISSN 00103616 [doi]
(last updated on 2018/02/19)
Abstract: Let μ be the measure on I′ (ℝd) corresponding to the Gaussian process with mean zero and covariance (f,(Δ+1)1g) on I (ℝd). It is proven that the set {Mathematical expression} has μ measure one if α>0 and β>1/2 and μ measure zero if α>0 and β<1/2; here Δd1 is the Laplacian in any d1 dimensions when d>1 and Δ0=Δ. © 1974 SpringerVerlag.


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