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Probabilistic Methods in Applied Physics pp 327–334Cite as

Some remarks concerning convergence of orthogonal polynomial expansions

  • Resolution of Forker-Planck Equation (FPE)
  • Conference paper
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Part of the book series: Lecture Notes in Physics ((LNP,volume 451))

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References

  1. H. Cramer: Mathematical Methods of Statistics. Princeton University Press (1966)

    Google Scholar 

  2. M. Krée: Propriété de Trace en Dimension Infinie d'espaces du type Sobolev. Bull. Soc. Math. France 105, (1977) 141–163

    Google Scholar 

  3. P. Krée: Introduction á la Théorie des Distributions en Dimension Infinie. Bull. Soc. Math. France 46, (1976) 143–162

    Google Scholar 

  4. P. Krée: Dimension Free Stochastic Calculus in the Distribution Sense. Stochastic Analysis, Path Integration and Dynamics. Edited by D.Elworthy and J.C.Zambrini. Pitman Research Notes in Mathematics Series numéro 200 (1989)

    Google Scholar 

  5. D. Lamberton (Personal Communication)

    Google Scholar 

  6. B. Lascar: Propriétés Locales d'espaces de Sobolev en Dimension Infinie. CRAS (1976), and Communications in Partial Differential Equations I,ch 6,(1976) 561–584, and Séminaire EDP en dimension infinie, IHP (1974–1975)

    Google Scholar 

  7. B.M. Levitan, I.S. Sargsjan: Introduction to Spectral Theory. Translations of Math. Monographs. A.M.S. 39 (1975)

    Google Scholar 

  8. A.Nikiforov, V. Ouvarov: Eléments de la Théorie des Fonctions Spéciales. Editions MIR (1976)

    Google Scholar 

  9. C. Soize: Steady State Solution of Fokker-Planck Equation in Higher Dimension. Publication de la RCP du CNRS de Mécanique Aléatoire (1988)

    Google Scholar 

  10. S. Watanabe: Malliavin Calculus in Terms of Generalized Wiener Functions. Theory and Applications of Random Fields. Lecture Notes in Control and Information Sciences, 49 Springer Verlag (1983)

    Google Scholar 

  11. W. Wedig: Parameter Identification of Road Spectra and Nonlinear Oscillators. Analysis and Estimation of Stochastic Mechanical Systems. Edited. by W.Schiehlen, W.Wedig. CISM Courses and Lectures, 303 Springer-Verlag (1988) 217–242

    Google Scholar 

  12. F.B. Weissler: Two-Point Inequalities, the Hermite Semi-Group, and the GaussWeierstrass Semigroup. Jal of Funct Analysis 32 (1979) 102–121

    Google Scholar 

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Authors
  1. Pierre Bernard
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Paul Krée Walter Wedig

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© 1995 Springer-Verlag

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Bernard, P. (1995). Some remarks concerning convergence of orthogonal polynomial expansions. In: Krée, P., Wedig, W. (eds) Probabilistic Methods in Applied Physics. Lecture Notes in Physics, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60214-3_63

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  • DOI: https://doi.org/10.1007/3-540-60214-3_63

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60214-9

  • Online ISBN: 978-3-540-44725-2

  • eBook Packages: Springer Book Archive

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