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Original Articles

Series and spectral representations of random stable mappings

Pages 33-49 | Published online: 04 Apr 2007

References

  • Arnold , L. 1998 . “ Random Dynamical Systems ” . Berlin Heisenberg, New York : Springer . to appear
  • Araujio , A. and Gine , E. 1980 . “ The Central Limit Theorem for Real and Banach Valued Random Variables ” . New York : John wiley & sons .
  • Bretagnolle , J. , Dacunha-Castelle , D. and Krivine , J. L. 1966 . Lois stable et espace Lb . Ann. Inst H. Paincaré , B2 : 231 – 259 .
  • Hofifmann-Jorgensen , J. 1977 . “ Probability in Banach spaces ” . Lecture Notes in Math Vol. 598 , 171 – 186 .
  • Kanter , M. 1972 . Linear sample spaces and stable processes . J. Functional Analysis , 9 : 441 – 459 .
  • Kuelbs , J. 1973 . A representation theorem for symmetric stable processes and stable measures on H, Z. Wahrscheinlichkeits . Verw. Get. , 26 : 259 – 271 .
  • Kahane , J. P. 1968 . “ Some Random Series of Functions, Health, 2nd edn ” . Cambridge University Press 1985 .
  • Kahane , J. P. 1997 . A century of interplay between Taylor series Fourier series and Brownian motion . Bull. London. Math. Soc. , 29 : 257 – 279 .
  • Linde , W. “ Probability in Banach space-Stable and Infinitely divisible Distributions ” . New York : John Wiley & Sons .
  • Robertson , A. P. and Robertson , W. 1964 . “ Topological Vector Spaces ” . Cambridge University Press .
  • Rajput , B. S. and Rama-Murthy , K. 1987 . On the spectral representations of complex semi-stable laws on Banach spaces . J. Mult Anal. , 21 : 139 – 157 .
  • Rajput , B. S. and Rosinski , J. 1989 . Spectral representations of infinitely divisible processes . Th. RA. Field , 82 : 451 – 487 .
  • Rosinski , J. 1984 . Random integrals of Banach space valued functions . Studia Math. , 78 : 15 – 38 .
  • Skorokhod , A. V. 1984 . “ Random Linear Operators ” . Dordrecht : D. Reidel Publishing Company .
  • Thang , D. H. 1987 . Random operators in Banach spaces . Probab. Math. Statist. , 8 : 155 – 167 .
  • Thang , D. H. 1988 . “ Gaussian random operators in Banach spaces ” . Vol. 13 , 79 – 85 . Acta Mathematica Vietnamica .
  • Thang , D. H. 1992 . “ A representation theorem for symmetric stable random operators ” . Vol. 17 , 53 – 61 . Acta Mathematica Vietnamica .
  • Thang , D. H. 1995 . The adjoint and the composition of random operators on a Hilbert space . Stochastic and Stochastic Reports , 54 : 53 – 73 .
  • Woyczynski , W. A. 1978 . Geometry and martingales in Banach spaces II . Advances in Probab. , 4 : 261 – 517 .
  • Vakhania , N. N. , Tarieladze , V. I. and Chobanian , S. A. 1987 . “ Probability Distribution on Banach spaces ” . Dordrecht : D. Reidel Publishing Company .

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