TL;DR
This paper introduces a new formalism for functional calculus tailored to entire holomorphic functions within the framework of p-liquid vector spaces, expanding the mathematical tools available for analysis in this setting.
Contribution
It presents a novel elementary formalism of functional calculus specifically designed for entire holomorphic functions in p-liquid vector spaces, bridging a gap in existing mathematical frameworks.
Findings
Developed a formalism for functional calculus in p-liquid vector spaces.
Extended the applicability of functional calculus to entire holomorphic functions.
Provided foundational tools for further research in p-liquid vector space analysis.
Abstract
We develop an elementary formalism of functional calculus for entire holomorphic functions in the setting of Clausen and Scholze's -liquid vector spaces.
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Taxonomy
TopicsMeromorphic and Entire Functions · Holomorphic and Operator Theory · Algebraic and Geometric Analysis