Displaying similar documents to “ L p -spectrum of Ornstein-Uhlenbeck operators”

Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators

Boris Godunov, Petr Zabreĭko (1995)

Studia Mathematica

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We discuss the problem of characterizing the possible asymptotic behaviour of the iterates of a sufficiently smooth nonlinear operator acting in a Banach space in small neighbourhoods of a fixed point. It turns out that under natural conditions, for the most part of initial approximations these iterates tend to "lie down" along a finite-dimensional subspace generated by the leading (peripherical) eigensubspaces of the Fréchet derivative at the fixed point and moreover the asymptotic...

A new technique to estimate the regularity of refinable functions.

Albert Cohen, Ingrid Daubechies (1996)

Revista Matemática Iberoamericana

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We study the regularity of refinable functions by analyzing the spectral properties of special operators associated to the refinement equation; in particular, we use the Fredholm determinant theory to derive numerical estimates for the spectral radius of these operators in certain spaces. This new technique is particularly useful for estimating the regularity in the cases where the refinement equation has an infinite number of nonzero coefficients and in the multidimensional cases. ...