Multi-microlocalization and microsupport
Naofumi Honda, Luca Prelli, Susumu Yamazaki
TL;DR
This paper develops the theoretical foundations of multi-microlocalization, providing formulas and estimates for microsupports, and demonstrates applications of these foundational results in microlocal analysis.
Contribution
It introduces the fiber formula for the multi-microlocalization functor and provides microsupport estimates, advancing the mathematical framework of multi-microlocalization.
Findings
Established the fiber formula for multi-microlocalization functor
Derived estimates for microsupport of multi-microlocalized objects
Presented applications demonstrating the utility of the theoretical results
Abstract
The purpose of this paper is to establish the foundations of multi-microlocalization, in particular, to give the fiber formula for the multi-microlocalization functor and estimate of microsupport of a multi-microlocalized object. We also give some applications of these results.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Advanced Topics in Algebra · Algebraic and Geometric Analysis