TL;DR
This paper introduces a geometric c-algebraic approach to normalisation, proving the Nullstellensatz for c-algebraic functions and analyzing their growth exponents.
Contribution
It develops a new geometric framework for c-algebraic normalisation and extends classical results like the Nullstellensatz to this setting.
Findings
Proves Nullstellensatz for c-algebraic functions
Studies growth exponents of c-algebraic functions
Introduces a geometric approach to algebraic normalisation
Abstract
We present a strictly geometric c-algebraic version of the analytic set normalisation. With the introduced tool we prove the Nullstellensatz for c-algebraic functions and study the growth exponent of a c-algebraic function.
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Taxonomy
TopicsFunctional Equations Stability Results · Holomorphic and Operator Theory · Advanced Banach Space Theory