2010 | OriginalPaper | Buchkapitel
Pseudo-differential Operators on ℝ n
verfasst von : Michael Ruzhansky, Ville Turunen
Erschienen in: Pseudo-Differential Operators and Symmetries
Verlag: Birkhäuser Basel
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The subject of pseudo-differential operators on ℝ
n
is well studied and there are many excellent monographs on the subject, see, e.g., [27, 33, 55, 71, 101, 112, 130, 135, 152], as well as on the more general subject of Fourier integral operators, microlocal analysis, and related topics in, e.g., [30, 56, 45, 81, 113]. Therefore, here we only sketch main elements of the theory. In this chapter, we use the notation 〈ξ〉 = (1 + |ξ|
2
)
1/2
.