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New Developments in Pseudo-Differential Operators: Isaac Group in Pseudo-Differential Operators (Igpdo), Middle East Technical University, Ankara, Tur by Luigi Rodino

New Developments in Pseudo-Differential Operators: Isaac Group in Pseudo-Differential Operators (Igpdo), Middle East Technical University, Ankara, Tur

by Luigi Rodino
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Book cover type: Hardcover
  • ISBN13: 9783764389680
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Birkhauser
  • Publication Date:
  • Pages: 332
  • Original Price: EUR 99.99
  • Language: English
  • Edition: 2009
  • Item Weight: 749 grams
  • BISAC Subject(s): Mathematical Analysis, Differential Equations / General, and Functional Analysis

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."

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