{"product_id":"new-developments-in-pseudo-differential-operators-luigi-rodino-9783764389680","title":"New Developments in Pseudo-Differential Operators: Isaac Group in Pseudo-Differential Operators (Igpdo), Middle East Technical University, Ankara, Tur","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.\"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Luigi Rodino\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3764389680\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764389680\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/18\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 332\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.65lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.50w x 0.90d","brand":"Luigi Rodino","offers":[{"title":"Hardcover","offer_id":48487064305919,"sku":"9783764389680","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_acfac674-0422-4f33-8ef1-ed758e5e56d4.jpg?v=1778058114","url":"https:\/\/www.whiterainbookhouse.com\/products\/new-developments-in-pseudo-differential-operators-luigi-rodino-9783764389680","provider":"WR Book House","version":"1.0","type":"link"}