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Balayage of measures Base thinness and fine
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Tutorials in Mathematical Biosciences IV: Evolution and Ecology
No preview available - 2007
According applied assume axiom base basis boundary Brelot called capacity carried Clearly complete component cone connected consequently consider contained converse Corollary countable defined Definition denote domain equals equivalent established everywhere exists extension fact finely closed set finely continuous finely harmonic finely harmonic functions finely hyperharmonic functions finely open set finite follows function f given Green space harmonic support hence holds implies increasing inequality infimum initial topology integral lattice Lemma LIBRARY likewise locally bounded majorized measure minorant Moreover Note notion numerical function obtain particular pointwise polar set potential relative preceding principle Proof prove quasi relative remaining Remark replaced resp respect result satisfying semibounded potential sense sequence shows stable strong harmonic space subset suppose supremum Theorem theory thin UNIVERSITY OF CALIFORNIA upper usual valued write