Gevrey regularity on maximally real submanifolds

نویسندگان

1 Department of Mathematics, College of Natural and Computational Science, Samara University, Ethiopia.

doi
10.30504/jims.2024.412001.1140
چکیده

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.