A symbolic calculus for Fourier integral operators
Yuri Safarov
TL;DR
This paper introduces a symbolic calculus framework for Fourier integral operators linked to canonical transformations, enhancing the mathematical tools available for analyzing these operators.
Contribution
It provides a novel symbolic calculus specifically designed for Fourier integral operators associated with canonical transformations.
Findings
Enables more precise analysis of Fourier integral operators
Facilitates advancements in microlocal analysis
Improves understanding of operator composition and properties
Abstract
The paper develops a symbolic calculus for Fourier integral operators associated with canonical transformations.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Numerical methods for differential equations · Algebraic and Geometric Analysis