On operators defining a family of nonanalyticC ∞-functions

DOI10.1007/BF03167907zbMath0774.26011OpenAlexW2022339666MaRDI QIDQ4711675

Masao Iri, Keiko Kabaya-Imai

Publication date: 25 June 1992

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167907

zbMATH Keywords

operatorsrandom variablesuniform distributionresidual spectrumspectral structurenonanalytic \(C^ \infty\)-function

Mathematics Subject Classification ID

Fractals (28A80) (C^infty)-functions, quasi-analytic functions (26E10) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Limit theorems in probability theory (60F99)

Related Items (4)

Series expansions for the solutions of an integral-functional equation with a parameter ⋮ Spectral properties of continuous refinement operators ⋮ On the spectral radius of convolution dilation operators ⋮ On asymptotic properties of the eigenfunctions of a linear operator

Cites Work

• Weierstrass' function and chaos
• Automatic computation of partial derivatives and rounding error estimates with applications to large-scale systems of nonlinear equations
• Sum of uniformly distributed random variables and a family of nonalyticC ∞-functions
• The Takagi function and its generalization
• On the structure of self-similar sets

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