New developments in pseudo-differential operators

di?erential operators in particular will be developed hand in glove with appli- tions andcomputation inthe physical,biologicaland medicalsciences.This theme will play an important role in the forthcoming volumes on pseudo-di?erential - erators originating from IGPDO. The Editors OperatorTheory: Adva...

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Autor corporatiu: ISAAC group in pseudo-differential operators :Ankara, Turquie
Altres autors: Rodino, Luigi, 1948- (Director editorial), Wong, Man Wah, 1951- (Director editorial)
Format: Livre numérique
Idioma:Anglais
Publicat: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edició:1st ed. 2009.
Col·lecció:Operator Theory: Advances and Applications 189
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Nota: Description d'après consultation du 2 février 2012
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Edition sous un autre format:• New developments in pseudo-differential operators, ISAAC group in pseudo-differential operators (IGPDO), Middle East technical university, Ankara, Turkey, August 2007, 2009, Basel, Birkhäuser, 1 vol. (VIII-332 p.), Operator theory, 978-3-7643-8968-0
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Sumari:di?erential operators in particular will be developed hand in glove with appli- tions andcomputation inthe physical,biologicaland medicalsciences.This theme will play an important role in the forthcoming volumes on pseudo-di?erential - erators originating from IGPDO. The Editors OperatorTheory: Advances andApplications,Vol.189, 1 14 c 2008Birkh auserVerlagBasel/Switzerland Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Di?erential Operators Maurice de Gosson Abstract. In a recent series of papers M.W. Wong has studied a degenerate elliptic partial di?erential operator related to the Heisenberg group. It turns out that Wong s example is best understood when replaced in the context of the phase-space Weyl calculus we have developed in previous work; this - proach highlights the relationship of Wong s constructions with the quantum mechanics of charged particles in a uniform magnetic ?eld. Using Shubin s classes of pseudodi?erential symbols we prove global hypoellipticity results for arbitrary phase-space operators arising from elliptic operators on con- uration space. Mathematics Subject Classi?cation (2000). Primary 47F30; Secondary 35B65, 46F05. Keywords. Degenerate elliptic operators, hypoellipticity, phase space Weyl calculus, Shubin symbols
Descripció de l’ítem:Description d'après consultation du 2 février 2012
Archives Springer e-books (Licence nationale)
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ISBN:9783764389697
ISSN:2296-4878
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