TL;DR
This paper investigates the properties of the Hilbert map, providing a complete characterization of when it is surjective, which advances understanding of its geometric and algebraic structure.
Contribution
It establishes the necessary and sufficient conditions for the surjectivity of the Hilbert map, a significant theoretical result.
Findings
Characterization of the surjectivity condition for the Hilbert map
Complete criteria for the image of the Hilbert map
Theoretical insight into the structure of the Hilbert map
Abstract
We talk about the image of the Hilbert map. We show the necessary and sufficient condition that the Hilbert map is surjective.
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Taxonomy
TopicsMathematics and Applications · Aerospace Engineering and Control Systems · Algebraic and Geometric Analysis