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Gelfand–Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in ℝn

  • Todor GramchevEmail author
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 251)

Abstract

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.

Keywords

Pseudo-differential equations, Gelfand–Shilov spaces exponential decay holomorphic extensions 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Dipartimento di Matematica e InformaticaUniversità di CagliariCagliariItaly

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