TL;DR
This paper introduces a broad concept of summability for sets in complex N-dimensional space, establishing conditions under which a set is summable and deriving related corollaries.
Contribution
It defines a general notion of summability for sets in complex space and proves that a necessary condition is also sufficient, providing new insights.
Findings
A new definition of summability for sets in complex space
Necessary and sufficient conditions for summability
Derivation of interesting corollaries
Abstract
We define a general notion of "summability" of a set and show that some trivial condition necessary for a set to be summable, is also sufficient. We deduce some intresting corollaries.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Advanced Harmonic Analysis Research