000			03108nam a22005895i 4500
001			978-3-319-29558-9
003			DE-He213
005			20190313085131.0
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	_aMAT038000 _2bisacsh
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aFischer, Veronique. _eauthor.
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	_aMathematics.
650		0	_aTopological groups.
650		0	_aLie groups.
650		0	_aHarmonic analysis.
650		0	_aFunctional analysis.
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aAbstract Harmonic Analysis.
650	2	4	_aFunctional Analysis.
650	2	4	_aMathematical Physics.
700	1		_aRuzhansky, Michael. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319295572
830		0	_aProgress in Mathematics, _x0743-1643 ; _v314
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-29558-9
912			_aZDB-2-SMA
999			_c48372 _d48372