Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ * and λ *

DOI10.1112/plms/s3-59.3.558zbMath0739.42007OpenAlexW2074034973MaRDI QIDQ4710817

Loren D. Pitt, J. Milne Anderson

Publication date: 25 June 1992

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-59.3.558

zbMATH Keywords

law of the iterated logarithmoccupation measureZygmund classdyadic versions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fractals (28A80) Lacunary series of trigonometric and other functions; Riesz products (42A55) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (13)

Unnamed Item ⋮ Non-differentiability and Hölder properties of self-affine functions ⋮ Quasisymmetric graphs and Zygmund functions ⋮ Hausdorff dimension of level sets of generalized Takagi functions ⋮ An analogue for harmonic functions of Kolmogorov's law of the iterated logarithm ⋮ The spectral theory of multiplication operators and the recurrence properties for nondifferentiable functions in the Zygmund class ⋮ Approximation in the Zygmund class ⋮ The Takagi function: a survey ⋮ Level sets of the Takagi function: local level sets ⋮ Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions ⋮ Self-affine fractal functions and wavelet series ⋮ Central limit theorem for generalized Weierstrass functions ⋮ On the existence of local times: A geometric study

This page was built for publication: Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ ^* and λ ^*