A Unifying Definition of a Subtemperature

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New Zealand Journal of Mathematics

Vol. 38, (2008), Pages 197-223


Neil A. Watson

Department of Mathematics and Statistics

University of Canterbury

Private Bag, Christchurch

NEW ZEALAND

mailto:n.watson@math.canterbury.ac.nz






Abstract We present a new definition of a subtemperature, and show that it unifies the potential theory of the heat operator from the outset, as the subcaloric functions and the subtemperatures defined earlier, arise as characterizations of the new subtemperatures almost simultaneously.

Keywords Subtemperature, subcaloric function, caloric measure, temperature

Classification (MSC2000) Primary: 31C05, 35K05; Secondary: 31D05

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