Characterization of time-periodic Gelfand-Shilov spaces via asymptotic behavior of Euclidean and periodic partial Fourier transforms, yielding necessary and sufficient conditions for global regularity of constant-coefficient and tube-type operators.
Tr` eves.Topological Vector Spaces, Distributions and Kernels
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Global hypoellipticity on time-periodic Gelfand-Shilov spaces via non-discrete Fourier analysis
Characterization of time-periodic Gelfand-Shilov spaces via asymptotic behavior of Euclidean and periodic partial Fourier transforms, yielding necessary and sufficient conditions for global regularity of constant-coefficient and tube-type operators.