Gelfand–Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in ℝn
We present the basic definitions and properties of Gelfand–Shilov spaces and discuss applications to the study of the global analytic-Gevrey regularity and the rate of exponential decay of solutions of large classes of (semi-) linear pseudodifferential equations.
KeywordsPseudo-differential equations, Gelfand–Shilov spaces exponential decay holomorphic extensions
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