Titlebook: Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators; Nicolas Lerner Book 2010 Birkh?user Basel 2010 Derivative.ca

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Nicolas Lerner der Wissenschaft kennt, da war er der überzeugung, da? der sittliche Wille des Einzelnen bei seiner ?autonomen“ Entscheidung lediglich der Vollstrecker eines allgemeingültigen Sittengesetzes sei. So fragt er in der Grundlegung zur Metaphysik der Sitten: ?... und wie sollen Gesetze der Bestimmung un

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chaische Denkstrukturen, irrationale und tribale Verhaltensweisen, Recht hingegen für rationale Gestaltung der Welt aus dem Geiste aufgekl?rter Vernunft..Der Geist der Rationalit?t, der die Moderne durchwaltet, steht Erscheinungen irrationaler Provenienz verst?ndnislos, sprachlos und feindlich gegen

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Metrics on the Phase Space,wed some earlier generalizations due to R. Beals and C. Fefferman ([8]) and to R. Beals ([6]). It was followed by some other generalizations due to A. Unterberger [145] and to a joint work of J.-M. Bony and N. Lerner ([20]), whose presentation we follow. We also give a precised version of the Feffer

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Estimates for Non-Selfadjoint Operators,, the proof of Theorem 1.2.38), and also for principal-type operators whose imaginary part is either always non-negative or always non-positive (Theorem 1.2.39). Thanks to Remark 1.2.36, it boils down to proving an .?. injectivity estimate |.|.～|.|. for . depending continuously on .∈?. Note that Lem

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Estimates for Non-Selfadjoint Operators,tion (. ∈ ? is the time-variable) . where Re.(.) is a pseudo-differential operator with real-valued Weyl symbol, the inequality (4.3.47) shows that the forward Cauchy problem is well-posed whenever Re.(.) is bounded from below, e.g., is non-negative. Most evolution equations or systems of mathematic

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2297-0355 f symplectic algebra, Wigner functions, quantization formulas, metaplectic group and is intended to set the basic study of the phase space. We move forward to the more general setting of metrics on the phase sp978-3-7643-8509-5978-3-7643-8510-1Series ISSN 2297-0355 Series E-ISSN 2297-0363