Foundation of Symbol Theory for Analytic Pseudodifferential Operators. I
Takashi Aoki, Naofumi Honda, Susumu Yamazaki
TL;DR
This paper introduces a novel symbol theory for pseudodifferential operators within complex analysis, establishing a cohomological basis for symbolic calculus to enhance understanding and application.
Contribution
It provides the first cohomological foundation for symbolic calculus in the context of analytic pseudodifferential operators, advancing theoretical understanding.
Findings
Developed a new symbol theory for complex analytic pseudodifferential operators
Established a cohomological framework for symbolic calculus
Enhanced theoretical foundation for analytic pseudodifferential operators
Abstract
A new symbol theory for pseudodifferential operators in the complex analytic category is given. This theory provides a cohomological foundation of symbolic calculus.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods