A note on a result of Saks and Zygmund on additive functions of rectangles
Juli\`a Cuf\'i, Juan J. Donaire
TL;DR
This paper revises the proof of a key lemma in Saks and Zygmund's work on additive functions of rectangles, aiming to clarify or improve the original argument.
Contribution
It provides a modified proof of the fundamental lemma related to additive functions of rectangles, enhancing understanding or rigor.
Findings
Modified proof of the basic lemma
Clarification of Saks and Zygmund's result
Potential improvements in proof technique
Abstract
We modify the proof of the basic lemma of a paper of Saks and Zygmund on additive functions of rectangles.
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Taxonomy
TopicsMathematics and Applications · Meromorphic and Entire Functions · Functional Equations Stability Results