000			03697nam a22004935i 4500
001			978-3-7643-8514-9
003			DE-He213
005			20140220084552.0
007			cr nn 008mamaa
008			100301s2010 sz | s |||| 0|eng d
020			_a9783764385149 _9978-3-7643-8514-9
024	7		_a10.1007/978-3-7643-8514-9 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aRuzhansky, Michael. _eauthor.
245	1	0	_aPseudo-Differential Operators and Symmetries _h[electronic resource] : _bBackground Analysis and Advanced Topics / _cby Michael Ruzhansky, Ville Turunen.
264		1	_aBasel : _bBirkhäuser Basel, _c2010.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aPseudo-Differential Operators, Theory and Applications ; _v2
505	0		_aFoundations of Analysis -- Sets, Topology and Metrics -- Elementary Functional Analysis -- Measure Theory and Integration -- Algebras -- Commutative Symmetries -- Fourier Analysis on ?n -- Pseudo-differential Operators on ?n -- Periodic and Discrete Analysis -- Pseudo-differential Operators on -- Commutator Characterisation of Pseudo-differential Operators -- Representation Theory of Compact Groups -- Groups -- Topological Groups -- Linear Lie Groups -- Hopf Algebras -- Non-commutative Symmetries -- Pseudo-differential Operators on Compact Lie Groups -- Fourier Analysis on SU(2) -- Pseudo-differential Operators on SU(2) -- Pseudo-differential Operators on Homogeneous Spaces.
520			_aThis monograph develops a global quantization theory of pseudo-differential operators on compact Lie groups. Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important problems in analysis and in the theory of partial differential equations. This also yields a local theory of pseudo-differential operators on manifolds. The present book takes a different approach by using global symmetries of the space which are often available. First, a particular attention is paid to the theory of periodic operators, which are realized in the form of pseudo-differential and Fourier integral operators on the torus. Then, the cases of the unitary group SU(2) and the 3-sphere are analyzed in extensive detail. Finally, the monograph also develops elements of the theory of pseudo-differential operators on general compact Lie groups and homogeneous spaces. The exposition of the book is self-contained and provides the reader with the background material surrounding the theory and needed for working with pseudo-differential operators in different settings. The background section of the book may be used for independent learning of different aspects of analysis and is complemented by numerous examples and exercises.
650		0	_aMathematics.
650		0	_aTopological Groups.
650		0	_aGlobal analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
700	1		_aTurunen, Ville. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764385132
830		0	_aPseudo-Differential Operators, Theory and Applications ; _v2
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-7643-8514-9
912			_aZDB-2-SMA
999			_c112982 _d112982