Advances in Theoretical and Applied Mathematics

  • Year: 2006
  • Volume: 1
  • Issue: 3

Large Deviations for Analytical Distributions on Infinite Dimensional Spaces

  • Author:
  • S. Chaari1,, F. Cipriano2,, H. Ouerdiane1,
  • Total Page Count: 15
  • DOI:
  • Page Number: 173 to 187

1Faculty of Sciences of Tunis, Department of Mathematics, University of Tunis El Manar, Campus Universitaire, 1060 Tunis, Tunisia.

2GFM and Department of Mathematics FCT-UNL, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal.

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 Schilder's theorems to white noise measures in the dual space of the test space of entire functions on N′ of θ- exponential growth.

Keywords

Cramer's theorem, Schilder's theorem, White noise distributions, Large deviations principle