Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces
<p dir="ltr">We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on -smoot...
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2025
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| Summary: | <p dir="ltr">We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on -smooth maximally real submanifolds in complex space which can be characterized in terms of the decay of a Fourier–Bros–Iagolnitzer transform. We also apply the approximate solutions to analyze the Denjoy–Carleman microlocal regularity of solutions of certain systems of first-order nonlinear partial differential equations.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Fourier Analysis and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s00041-025-10144-z" target="_blank">https://dx.doi.org/10.1007/s00041-025-10144-z</a></p> |
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