SURFACE MEASURES ON THE DUAL SPACE OFTHE SCHWARTZ SPACE

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Abstract

We adopt the Airault-Malliavin method to construct surfacemeasures within the framework of white noise analysis for surfaces in thedual space of the Schwartz space. The main ingredient of our construction isthe integral representation theorem of positive generalized functions. We alsogive some examples to illustrate the precise description of surface measuresin terms of the Laplace transform.
Original languageUnknown
Pages (from-to)467-480
JournalCommunications on Stochastic Analysis
Volume4
Issue number3
Publication statusPublished - 1 Jan 2010

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