04077 am 22008053u 450 991013680910332120220218164907.03-319-29558-610.1007/978-3-319-29558-9(OCoLC)945948187(OCoLC)1016652153(CKB)3710000000627500(SSID)ssj0001654252(PQKBManifestationID)16433013(PQKBTitleCode)TC0001654252(PQKBWorkID)14982263(PQKB)11238712(DE-He213)978-3-319-29558-9(MiAaPQ)EBC5592665(Au-PeEL)EBL5592665(OCoLC)944502145(MiAaPQ)EBC6381442(Au-PeEL)EBL6381442(OCoLC)1291317652(PPN)192737392(EXLCZ)99371000000062750020160308d2016 u| 0engurnn#008mamaatxtccrQuantization on Nilpotent Lie Groups[electronic resource] /by Veronique Fischer, Michael Ruzhansky1st ed. 2016.Cham :Springer International Publishing :Imprint: Birkhäuser,2016.1 online resource (XIII, 557 p. 1 illus. in color.)Progress in Mathematics,0743-1643 ;314Bibliographic Level Mode of Issuance: Monograph3-319-29557-8 Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index.This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.Progress in Mathematics,0743-1643 ;314Topological groupsLie groupsHarmonic analysisFunctional analysisMathematical physicsTopological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Abstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Topological groups.Lie groups.Harmonic analysis.Functional analysis.Mathematical physics.Topological Groups, Lie Groups.Abstract Harmonic Analysis.Functional Analysis.Mathematical Physics.512.55512.482Fischer Veroniqueauthttp://id.loc.gov/vocabulary/relators/aut756049Ruzhansky Michaelauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910136809103321Quantization on Nilpotent Lie Groups1920125UNINA