Abstract
We present new results concerning pseudo-differential operators in the function spaces S μμ (ℝn) of Gelfand and Shilov. In particular we discuss S μν (ℝn)-regularity of solutions to SG-elliptic pseudo-differential equations, allowing lower order semilinear perturbations. The results apply to SG-elliptic partial differential equations with polynomial coefficients. We also study the action of Weyl operators and localization operators on S μν (ℝn).
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Cappiello, M., Gramchev, T., Rodino, L. (2006). Gelfand-Shilov Spaces, Pseudo-differential Operators and Localization Operators. In: Toft, J. (eds) Modern Trends in Pseudo-Differential Operators. Operator Theory: Advances and Applications, vol 172. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8116-5_17
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DOI: https://doi.org/10.1007/978-3-7643-8116-5_17
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