Abstract
We study some classes of pseudo-differential operators with symbols a admitting anisotropic exponential type growth at infinity. We deduce mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce algebraic and certain invariance properties of these classes.
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Abdeljawad, A., Cappiello, M. & Toft, J. Pseudo-Differential Calculus in Anisotropic Gelfand–Shilov Setting. Integr. Equ. Oper. Theory 91, 26 (2019). https://doi.org/10.1007/s00020-019-2518-2
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DOI: https://doi.org/10.1007/s00020-019-2518-2
Keywords
- Gevrey regularity
- Symbols of infinite order
- Gelfand–Shilov spaces
- Short-time Fourier transform
- Anisotropic