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.
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Establishes necessary and sufficient conditions for solvability and hypoellipticity of constant-coefficient Vekua-type operators on the torus within Denjoy-Carleman classes, with applications and variable-coefficient extensions.
citing papers explorer
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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.
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Denjoy-Carleman solvability of Vekua-type periodic operators
Establishes necessary and sufficient conditions for solvability and hypoellipticity of constant-coefficient Vekua-type operators on the torus within Denjoy-Carleman classes, with applications and variable-coefficient extensions.