New Developments in Pseudo-differential Operators: Isaac Group in Pseudo-differential Operators Igpdo, Middle East Technical University, Ankara, Turkey, August 2007 - Couverture rigide

Couverture rigide

ISBN 10 : 3764389680 ISBN 13 : 9783764389680

Editeur : Birkhauser Verlag AG, 2008

Synopsis

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."

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 3764389680
• ISBN 13: 9783764389680
• Reliure: Relié
• Nombre de pages: 340
• Éditeur: Rodino Luigi, Wong M. W.
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne