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http://dx.doi.org/10.5831/HMJ.2010.32.4.633

THE GENERALIZED ANALOGUE OF WIENER MEASURE SPACE AND ITS PROPERTIES  

Ryu, Kun-Sik (Department of Mathematics Education Han Nam University)
Publication Information
Honam Mathematical Journal / v.32, no.4, 2010 , pp. 633-642 More about this Journal
Abstract
In this note, we introduce the definition of the generalized analogue of Wiener measure on the space C[a, b] of all real-valued continuous functions on the closed interval [a, b], give several examples of it and investigate some important properties of it - the Fernique theorem and the existence theorem of scale-invariant measurable subsets on C[a, b].
Keywords
generalized analogue of Wiener measure space; Fernique theorem; scale-invariant measurable subset;
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