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.
Mathematics Subject Classification (2010). Primary: 35S05; Secondary: 35B40, 35B65.
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© 2016 Springer International Publishing Switzerland
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Gramchev, T. (2016). Gelfand–Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in ℝn . In: Bahns, D., Bauer, W., Witt, I. (eds) Quantization, PDEs, and Geometry. Operator Theory: Advances and Applications(), vol 251. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22407-7_1
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DOI: https://doi.org/10.1007/978-3-319-22407-7_1
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-22406-0
Online ISBN: 978-3-319-22407-7
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