Large deviations for analytical distributions on infinite dimensional spaces

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Abstract

Let θ be a Young function and N' the dual space of a complex nuclear Fréchet space N. In this paper we generalize Cramer's and Shilder's theorems to white noise measures in the dual space of the teste space of entere functions on N' of θ-exponential growth.
Original languageEnglish
Pages (from-to)173-187
Number of pages15
JournalAdvances in theoretical and applied mathematics
Volume2-3
Publication statusPublished - 1 Jan 2006

Keywords

  • Cramer’s theorem
  • Schilder’s theorem
  • White noise distributions
  • Large deviations principle

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