Solving \((I-S)g=f\) when \(S\) is a generalized shift operator

DOI10.1216/rmjm/1181072415zbMath0804.47014OpenAlexW1981680044MaRDI QIDQ1335180

Anca Deliu, M. Carl Spruill

Publication date: 28 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072415

zbMATH Keywords

Weierstrass functionsgeneralized shift operatorfractal interpolation functions of Barnsleyweak Abel-like limits

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

• On the functional equation \(1/p\cdot \{f(x/p)+\cdots +f((x+p- 1)/p)\}=\lambda f(\mu x)\)
• Fractal functions and interpolation
• On the distribution of values of sums of the type \(\sum f(2^kt)\)
• On the Functional Equation f(t) = g(t) - g(2t)
• The Equation (I - S)g = f for Shift Operators in Hilbert Space
• Sur une suite également répartie

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