## Stochastic Processes and Functional Analysis: In Celebration of M.m. Rao's 65th Birthday"Covers the areas of modern analysis and probability theory. Presents a collection of papers given at the Festschrift held in honor of the 65 birthday of M. M. Rao, whose prolific published research includes the well-received Marcel Dekker, Inc. books Theory of Orlicz Spaces and Conditional Measures and Applications. Features previously unpublished research articles by a host of internationally recognized scholars." |

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### Contents

Preface | viii |

Some Problems of Real and Stochastic Analysis Arising from Applications 1 | xxi |

Quasiperiodic Solutions of Hamiltonian Evolution Equations | 17 |

Scaling Limits for Lattice Gas Models | 39 |

Arnold Department of Statistics University of California Riverside California | 45 |

Barry Arnold and Jacek Wesolowski | 61 |

An Analytic Semigroup Associated to a Degenerate Evolution Equation | 85 |

The Influence of Probability Theory | 101 |

Yûichiro Kakihara | 137 |

New Results in the Simplex Method in Linear Programming | 153 |

An Estimate of the Semistable Measure of Small Balls in Banach Spaces | 171 |

Recursive Multiple Wiener Expansion for Nonlinear Filtering of Diffusion Processes | 199 |

On the Strong Form of the Faber Theorem | 215 |

Hobbs and S S Sritharan | 235 |

Nonlinear Parabolic Equations Favard Classes and Regularity | 253 |

Neil E Gretsky Joseph M Ostroy and William R Zame | 123 |

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algebra Analysis analytic Applications approximation assume assumption Banach space Borel boundary conditions bounded called Chang characterize classical closed complete computing consider constant constraint contained continuous corresponding defined definition denote density Department depends determined Differential Equations dilation distribution elements equivalent estimate example exists fact filtering finite follows function Gaussian given Goldstein harmonizable processes Hence Hilbert space holds implies independent indexed inequality integral interchange introduced Lemma linear Math Mathematics matrix means measure method nonlinear norm normal Note observe obtained operator Orlicz spaces orthogonal positive present probability problem projection proof properties Proposition prove random random variables rank representation respectively result satisfies semigroup sequence solution stationary Statistics step stochastic structure sufficient Suppose Theorem Theory unique University values vector weakly York zero