Trace Ideals for Fourier Integral Operators with Non-Smooth Symbols III
Joachim Toft, Francesco Concetti, Gianluca Garello
TL;DR
This paper investigates Fourier integral operators with non-smooth symbols and phase functions, establishing their continuity and Schatten-von Neumann properties on modulation spaces, advancing understanding of their functional analysis characteristics.
Contribution
It introduces new continuity and Schatten-von Neumann results for Fourier integral operators with non-smooth symbols in modulation spaces.
Findings
Operators are continuous on modulation spaces.
Operators exhibit Schatten-von Neumann properties.
Results extend previous smooth-symbol cases.
Abstract
We consider Fourier integral operators with symbols in modulation spaces and non-smooth phase functions whose second orders of derivatives belong to certain types of modulation space. We establish continuity and Schatten-von Neumann properties of such operators when acting on modulation spaces.
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Taxonomy
Topicsadvanced mathematical theories · Differential Equations and Boundary Problems · Spectral Theory in Mathematical Physics