{"product_id":"new-developments-in-pseudo-differential-operators-isaac-group-in-pseudo-differential-operators-igpdo-middle-east-technical-university-ankara-tur-9783764389680","title":"New Developments in Pseudo-Differential Operators: Isaac Group in Pseudo-Differential Operators (Igpdo), Middle East Technical University, Ankara, Tur","description":"\u003cp\u003e • Author(s): Luigi Rodino\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003edi?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.\"\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45284252024983,"sku":"9783764389680","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783764389680.webp?v=1769280627","url":"https:\/\/atlanticbooks.com\/products\/new-developments-in-pseudo-differential-operators-isaac-group-in-pseudo-differential-operators-igpdo-middle-east-technical-university-ankara-tur-9783764389680","provider":"Atlantic Books","version":"1.0","type":"link"}