Gevrey regularity on maximally real submanifolds

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Yesuf J.

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Journal Paper

Paper Information

Journal: Journal of the Iranian Mathematical Society Year:2024 | Volume:5 | Issue:2 Page(s): 191-204

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Information Journal Paper

Title

Gevrey regularity on maximally real submanifolds

Author(s)

Yesuf J. | Issue Writer Certificate

Keywords

FBI transform

Gevrey regularity

Maximally real submanifold

Abstract

The Fourier‎ -‎Br\'os‎ -‎Iagolnitzer (FBI) transform is the right tool to characterize microlocal analyticity‎, ‎microlocal smoothness‎, ‎and Gevrey regularity‎. ‎In this paper‎, ‎we characterize microlocal Gevrey regularity of a distribution on a Maximally real submanifold of $\mathbb{C}^m$ using the FBI transform‎.

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