New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 (Operator Theory) / Rodino, L. (EDT)/ Wong, M. W. (EDT)

擬微分作用素の新展開（会議録）<br>New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 (Operator Theory) 〈Vol. 189〉

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擬微分作用素の新展開（会議録）
New Developments in Pseudo-Differential Operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 (Operator Theory) 〈Vol. 189〉

Rodino, L. (EDT)/ Wong, M. W. (EDT)

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Birkhäuser（2008/12発売）
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ポイント 208pt

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製本 Hardcover:ハードカバー版／ページ数 332 p.
言語 ENG
商品コード 9783764389680
DDC分類 515

Full Description

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.

Phase-Space Weyl Calculus and Global Hypoellipticity of a Class of Degenerate Elliptic Partial Differential Operators.- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces.- Weyl Transforms and the Heat Equation for the Sub-Laplacian on the Heisenberg Group.- Construction of the Fundamental Solution and Curvature of Manifolds with Boundary.- Operators with Corner-Degenerate Symbols.- Ellipticity of Fredholm Pseudo-Differential Operators on L p (? n ).- Hyperbolic Systems with Discontinuous Coefficients: Generalized Wavefront Sets.- Generalized Fourier Integral Operators on Spaces of Colombeau Type.- On Local and Global Regularity of Fourier Integral Operators.- Type 1,1-Operators Defined by Vanishing Frequency Modulation.- Regularity for Quasi-Elliptic Pseudo-Differential Operators with Symbols in Hölder Classes.- Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators.- Modified Stockwell Transforms and Time-Frequency Analysis.- Localization Operators for Two-Dimensional Stockwell Transforms.- Pseudo-Differential Operators on .- On Pseudo-Differential Operators on Group SU(2).- Sampling and Pseudo-Differential Operators.