000			04003nam a22004815i 4500
001			u377015
003			SIRSI
005			20160812084442.0
007			cr nn 008mamaa
008			100301s2010 sz | s |||| 0|eng d
020			_a9783764385149 _9978-3-7643-8514-9
040			_cMX-MeUAM
050		4	_aQA370-380
082	0	4	_a515.353 _223
100	1		_aRuzhansky, Michael. _eauthor.
245	1	0	_aPseudo-Differential Operators and Symmetries _h[recurso electrónico] : _bBackground Analysis and Advanced Topics / _cby Michael Ruzhansky, Ville Turunen.
264		1	_aBasel : _bBirkhäuser Basel, _c2010.
300			_aXIV, 710 p. _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 is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.
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	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-7643-8514-9
596			_a19
942			_cLIBRO_ELEC
999			_c204895 _d204895