Pseudo-differential calculus in anisotropic Gelfand-Shilov setting (Q2422682)
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| Language | Label | Description | Also known as |
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| English | Pseudo-differential calculus in anisotropic Gelfand-Shilov setting |
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Pseudo-differential calculus in anisotropic Gelfand-Shilov setting (English)
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20 June 2019
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The authors introduce several general classes of pseudo-differential operators with symbols admitting anisotropic exponential type growth at infinity. The superexponential growth on corresponding symbols is permitted. Algebraic and continuity properties for a class of these pseudo-differential operators of infinite orders acting on Gelfand-Shilov spaces are deduced. The authors also deduce that the operator classes are closed under compositions.
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Gevrey regularity
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symbols of infinite order
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Gelfand-Shilov spaces
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short-time Fourier transform
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anisotropic
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