New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara,Turkey, August 2007

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ISBN 10: 3764389680 / ISBN 13: 9783764389680

Edité par Birkhäuser Basel, 2008

A propos de cet article

Zustand: Sehr gut | Seiten: 344 | Sprache: Englisch | Produktart: Bücher.

N° de réf. du vendeur 4729893/2

Détails bibliographiques

• Titre: New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara,Turkey, August 2007
• Éditeur: Birkhäuser Basel
• Date de parution: 2008
• Langue: anglais
• ISBN à 10 chiffres: 3764389680
• ISBN à 13 chiffres: 9783764389680
• Reliure: Couverture rigide
• État de l'article: Sehr gut

A propos de ce titre

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."