000 03957nam a22006495i 4500
001 978-3-319-29558-9
003 DE-He213
005 20201217111500.0
007 cr nn 008mamaa
008 160308s2016 gw | s |||| 0|eng d
020 _a9783319295589
_9978-3-319-29558-9
024 7 _a10.1007/978-3-319-29558-9
_2doi
072 7 _aPBG
_2bicssc
072 7 _aMAT014000
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
100 1 _aFischer, Veronique.
_9100902
245 1 0 _aQuantization on Nilpotent Lie Groups
_h[electronic resource] /
_cby Veronique Fischer, Michael Ruzhansky.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2016.
300 _aXIII, 557 p. 1 illus. in color.
_bonline resource.
336 _btxt
337 _bc
338 _bcr
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics,
_x0743-1643 ;
_v314
500 _aIT Carlow ebook
505 0 _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.
506 0 _aOpen Access
520 _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.
650 0 _aTopological groups.
_997814
650 0 _aLie groups.
_9100903
650 0 _aHarmonic analysis.
_9100904
650 0 _aFunctional analysis.
_93984
650 0 _aMathematical physics.
_95432
650 1 4 _aTopological Groups, Lie Groups.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M11132
_997820
650 2 4 _aAbstract Harmonic Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12015
_997823
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
_93984
650 2 4 _aMathematical Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M35000
_95432
700 1 _aRuzhansky, Michael.
_997813
710 2 _aSpringerLink (Online service)
_930940
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319295572
776 0 8 _iPrinted edition:
_z9783319295596
776 0 8 _iPrinted edition:
_z9783319805993
830 0 _aProgress in Mathematics,
_x0743-1643 ;
_v314
_997826
856 0 _ySend a message to library staff if access to this online resource is unavailable
_uhttps://tinyurl.com/y2hljxwd
856 4 0 _yLink to Springer open access ebook
_uhttps://doi.org/10.1007/978-3-319-29558-9
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-SOB
999 _c49806
_d49806