The Structure of Regulated Functions

DOI10.2307/2040863zbMath0327.26005OpenAlexW4241994314MaRDI QIDQ4092193

Casper Goffman, Gadi Moran, Daniel Waterman

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040863

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Functions of bounded variation, generalizations (26A45)

Related Items (13)

Of Regulated and Steplike Functions ⋮ Continuous Functions on Countable Compact Ordered Sets as Sums of Their Increments ⋮ On a Theorem of Steinitz and Levy ⋮ The approximate variation of univariate uniform space valued functions and pointwise selection principles ⋮ On regulated functions ⋮ Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ λ‐Variation and Hausdorff Distance ⋮ Rough functions: \(p\)-variation, calculus, and index estimation ⋮ Continuity of \(p\)-variation in the Vietoris topology ⋮ Measures of noncompactness and superposition operator in the space of regulated functions on an unbounded interval ⋮ Measure differential inclusions through selection principles in the space of regulated functions ⋮ Some inequalities and superposition operator in the space of regulated functions ⋮ On Φ-variation for 1-d scalar conservation laws

Cites Work

• On generalized variations (I)
• Functions of generalized variation
• On convergence of Fourier series of functions of generalized bounded variation

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