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Original Articles

S-transform and Hermite transform of Hilbert space-valued stochastic distributions with applications to stochastic differential equations

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Pages 293-301 | Received 26 Feb 2010, Published online: 17 May 2011

References

  • Da Prato , G. and Zabczyk , J. 1992 . Stochastic Equations in Infinite Dimensions , Cambridge : Cambridge University Press .
  • Filinkov , A. and Sorensen , J. 2002 . Differential equations in spaces of abstract stochastic distributions . Stoch. Stoch. Rep. , 72 ( Part 3–4 ) : 129 – 173 .
  • Holden , H. , Øksendal , B. , Ubøe , J. and Zhang , T. 1996 . Stochastic Partial Differential Equations. A Modelling, White Noise Functional Approach Birkhäuser, Boston
  • Kuo , H.-H. 1996 . White Noise Distribution Theory , Boca Raton : CRC Press .
  • Melnikova , I. V. , Filinkov , A. I. and Alshansky , M. A. 2003 . Abstract stochastic equations II. Solutions in spaces of abstract stochastic distributions . J. Math. Sci. , 116 ( Part 5 ) : 3620 – 3656 .
  • Pilipović , S. and Seleši , D. 2007 . Expansion theorems for generalized random processes, Wick products and applications to stochastic differential equations . Infin. Dimens. Anal. Quantum Probab. Relat. Top. , 10 ( 1 ) : 1 – 32 .

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