000 03544nam a22006015i 4500
001 978-3-319-29558-9
003 DE-He213
005 20200127152627.0
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
050 4 _aQA252.3
050 4 _aQA387
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.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics,
_x0743-1643 ;
_v314
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.
650 0 _aLie groups.
650 0 _aHarmonic analysis.
650 0 _aFunctional analysis.
650 0 _aMathematical physics.
650 1 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
650 2 4 _aAbstract Harmonic Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12015
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
700 1 _aRuzhansky, Michael.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
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
856 4 0 _uhttps://doi.org/10.1007/978-3-319-29558-9
912 _aZDB-2-SMA
912 _aZDB-2-SOB
999 _c525000
_d524998