On the Decomposition of Functions as Sum and Product in Terms of Various Fractal Dimensions

Amit Priyadarshi; Manuj Verma

doi:10.14321/realanalexch.49.2.1686809535

Abstract

If local forms of Littlewood’s three principles are stated as axioms for an ordered field, then each principle is equivalent to the completeness axiom.

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Amit Priyadarshi. Manuj Verma. "On the Decomposition of Functions as Sum and Product in Terms of Various Fractal Dimensions." Real Anal. Exchange 49 (2) 299 - 314, 2024. https://doi.org/10.14321/realanalexch.49.2.1686809535

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Published: 2024

First available in Project Euclid: 23 February 2024

Digital Object Identifier: 10.14321/realanalexch.49.2.1686809535

Subjects:

Primary: 28A80

Secondary: 37C45 , 54C05

Keywords: decomposition of functions , fractal dimensions , graphs of continuous functions

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