A global Nullstellensatz for ideals of Denjoy-Carleman functions
Francesca Acquistapace, Fabrizio Broglia, Andreea Nicoara
TL;DR
This paper establishes a Nullstellensatz theorem for global ideals of Denjoy-Carleman functions, extending classical algebraic geometry results to a broader class of smooth functions.
Contribution
It provides the first Nullstellensatz result applicable to both finitely and infinitely generated ideals of Denjoy-Carleman functions.
Findings
Proves a Nullstellensatz for Denjoy-Carleman functions
Extends algebraic geometry principles to smooth function classes
Addresses both finitely and infinitely generated ideals
Abstract
We prove a Nullstellensatz result for global ideals of Denjoy-Carleman functions in both finitely generated and infinitely generated cases.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Advanced Topics in Algebra