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100   $a20160308d2016      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aQuantization on Nilpotent Lie Groups$b[electronic resource] /$fby Veronique Fischer, Michael Ruzhansky
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (XIII, 557 p. 1 illus. in color.)
225 1 $aProgress in Mathematics,$x0743-1643 ;$v314
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-29557-8 
327   $aPreface -- 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.
330   $aThis book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
410  0$aProgress in Mathematics,$x0743-1643 ;$v314
606   $aTopological groups
606   $aLie groups
606   $aHarmonic analysis
606   $aFunctional analysis
606   $aMathematical physics
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aTopological groups.
615  0$aLie groups.
615  0$aHarmonic analysis.
615  0$aFunctional analysis.
615  0$aMathematical physics.
615 14$aTopological Groups, Lie Groups.
615 24$aAbstract Harmonic Analysis.
615 24$aFunctional Analysis.
615 24$aMathematical Physics.
676   $a512.55
676   $a512.482
700   $aFischer$b Veronique$4aut$4http://id.loc.gov/vocabulary/relators/aut$0756049
702   $aRuzhansky$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910136809103321
996   $aQuantization on Nilpotent Lie Groups$91920125
997   $aUNINA