An example of stability of singular spectrum under smooth perturbations

DOI10.1007/BF01694032zbMath0476.47010MaRDI QIDQ1160402

Loren D. Pitt

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

multiplication operatorsingular continuous spectrumsample functionsrandom Lacunary seriesstability of spectral type

Mathematics Subject Classification ID

Gaussian processes (60G15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Sample path properties (60G17) Linear operators on function spaces (general) (47B38) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (2)

The spectral theory of multiplication operators and the recurrence properties for nondifferentiable functions in the Zygmund class ⋮ On the existence of local times: A geometric study

Cites Work

• Perturbation of the continuous spectrum and unitary equivalence
• Occupation densities
• Local times for real and random functions
• On multipliers preserving convergence of trigonometric series almost everywhere
• Gaussian sample functions and the Hausdorff dimension of level crossings
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