References
- Aase , K. , Øksendal , B. , and Ub⊘e , J. 2001 . Using the Donsker delta function to compute hedging strategies . Potential Anal. 14 : 351 – 374 .
- Bertini , L. , and Giacomin , G. 1997 . Stochastic Burgers and KPZ equations from particle systems . Comm. Math. Phys. 183 : 571 – 607 .
- Chan , T. 2000 . Scaling limits of Wick ordered KPZ equation . Comm. Math. Phys. 209 : 671 – 690 .
- Da Prato , G. , and Debussche , A. 2003. Strong solutions to the stochastic quantization equations. Ann. Probab. 31:1900–1916.
- Da Prato , G. , and Tubaro , L. 2007 . Wick powers in stochastic PDEs: An introduction. Technical Report UTM 711, March, Matematica, University of Trento .
- Gatarek , D. , and Goldys , B. 1996 . Existence, uniqueness and ergodicity for the stochastic quantization equation . Studia Math. 119 : 179 – 193 .
- Hida , T. , Kuo , H.-H. , Potthoff , J. , and Streit , L. 1993 . White Noise. An Infinite Dimensional Calculus , Kluwer , Dordrecht .
- Holden , H. , Øksendal , B. , Ub⊘e , J. , and Zhang , T.-S. 1996 . Stochastic Partial Differential Equations—A Modeling, White Noise Functional Approach , Birkhäuser , Boston .
- Janson , S. 1983 . On hypercontractivity for multipliers on orthogonal polynomials . Ark. Mat. 21 : 97 – 110 .
- Janson , S. 1997 . Gaussian Hilbert Spaces . Cambridge Tracts in Mathematics, 129 . Cambridge University Press , Cambridge , UK .
- Kondratiev , Y. , Leukert , P. , and Streit , L. 1996 . Wick calculus in Gaussian analysis . Acta Appl. Math. 44 : 269 – 294 .
- Kuo , H.H. 1996 . White Noise Distribution Theory , CRC Press , Boca Raton , FL .
- Kuo , H.H. , Saito , K. , and Stan , A.I. 2001 . A Hausdorff–Young Inequality for White Noise Analysis. Quantum Information IV , World Science Publishers , River Edge , NJ , pp. 115 – 126 .
- Lanconelli , A. , and Stan , A.I. 2008 . Holder-type inequalities for norms of Wick products . Journal of Applied Mathematics and Stochastic Analysis . DOI: 10.1155/2008/254897
- Nualart , D. 1995 . The Malliavin Calculus and Related Topics , Springer-Verlag , Berlin .
- Nualart , D. , and Zakai , M. 1991 . Positive and strongly positive Wiener functionals. Barcelona Seminar on Stochastic Analysis. Progress of Probability 32, Birkhäuser, Basel , pp. 132 – 146 .
- Obata , N. 1997 . White Noise Calculus and Fock Space , LNM 1577 , Springer , Berlin .
- Potthoff , J. , and Timpel , M. 1995 . On a dual pair of spaces of smooth and generalized random variables . Potential Anal. 4 : 637 – 654 .
- Stan , A.I. 2006 . Best constants in norms of Wick products . Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9 : 169 – 185 .