Differential representation and Markov property of generalized random fields

Stochastic Analysis and Applications

Volumn 19, Issue 4, 2001, Pages 481-498

  Anh, V V ^a   Ruiz Medina, M D ^b   Angulo, J M ^b  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035609328     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAP-100002098     Document Type: Article

References (9)

1. J.M. Angulo, M. D. Ruiz-Medina, V. V. Anh and W. Grecksch. Fractional diffusion and fractional heat equation. Adv. Appl. Prob., 32(4), 2000 (in press).
2. R. Dautray and J. L. Lions. Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 2, Functional and Variational Methods. Springer-Verlag, 1985.
3. D. E. Edmunds and H. Triebel. Function spaces, entropy numbers, differential operators. Cambridge Univ. Press, 1996.
4. I. M. Gelfand and N. Y. Vilenkin. Generalized Functions, Vol. 4. Academic Press, 1964.
5. L. D. Pitt. A Markov property for Gaussian processes with multidimensional parameter. Arch. Rational Mech. Anal., 43, 367-391, 1971.
6. Y. A. Rozanov. Markov Random Fields. Springer Verlag, 1982.
7. L. Schwartz. Théorie des distributions. Hermann Cie, 1966.
8. S. L. Sobolev. Applications of Functional Analysis in Mathematical Physics. Amer. Math. Soc., 1963.
9. K. Yosida. Functional Analysis. Springer-Verlag, 1980.