Abstract
If the choice of good symbol classes is essential in any pseudo-differential calculus, so is the choice of good functional spaces between which these operators act. These spaces must reflect regularity properties (in the broad sense) of the operators that are used. For instance, in Hörmander’s theory of pseudo-differential operators a standard choice are the Sobolev spaces Hs and their variants.
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© 2011 Springer Basel AG
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de Gosson, M.A. (2011). The Modulation Spaces \(M_s^q\) . In: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Pseudo-Differential Operators, vol 7. Springer, Basel. https://doi.org/10.1007/978-3-7643-9992-4_17
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DOI: https://doi.org/10.1007/978-3-7643-9992-4_17
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