{"product_id":"stratified-lie-groups-and-potential-andrea-bonfiglioli-9783642090998","title":"Stratified Lie Groups and Potential Theory for Their Sub-Laplacians","description":"Elements of Analysis of Stratified Groups.- Stratified Groups and Sub-Laplacians.- Abstract Lie Groups and Carnot Groups.- Carnot Groups of Step Two.- Examples of Carnot Groups.- The Fundamental Solution for a Sub-Laplacian and Applications.- Elements of Potential Theory for Sub-Laplacians.- Abstract Harmonic Spaces.- The ?-harmonic Space.- ?-subharmonic Functions.- Representation Theorems.- Maximum Principle on Unbounded Domains.- ?-capacity, ?-polar Sets and Applications.- ?-thinness and ?-fine Topology.- d-Hausdorff Measure and ?-capacity.- Further Topics on Carnot Groups.- Some Remarks on Free Lie Algebras.- More on the Campbell-Hausdorff Formula.- Families of Diffeomorphic Sub-Laplacians.- Lifting of Carnot Groups.- Groups of Heisenberg Type.- The Carathéodory-Chow-Rashevsky Theorem.- Taylor Formula on Homogeneous Carnot Groups.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Andrea Bonfiglioli,Ermanno Lanconelli,Francesco Uguzzoni\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3642090990\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783642090998\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/11\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 802\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.51lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.65d","brand":"Andrea Bonfiglioli","offers":[{"title":"Paperback","offer_id":47930938491135,"sku":"9783642090998","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_94303658-e5fa-4969-a504-3c95a2051b07.jpg?v=1766345332","url":"https:\/\/www.whiterainbookhouse.com\/products\/stratified-lie-groups-and-potential-andrea-bonfiglioli-9783642090998","provider":"WR Book House","version":"1.0","type":"link"}