Math @ Duke
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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
(June, 1974),
pp. 123-132, Springer Nature, ISSN 0010-3616 [doi]
(last updated on 2024/07/16)
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 Δd-1 is the Laplacian in any d-1 dimensions when d>1 and Δ0=Δ. © 1974 Springer-Verlag.
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