000			02420nam a22003858i 4500
001			CR9781108672641
003			UkCbUP
005			20200124160155.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			180709s2019||||enk o ||1 0|eng|d
020			_a9781108672641 (ebook)
020			_z9781108483094 (hardback)
020			_z9781108716376 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA329.2 _b.A687 2019
082	0	0	_a515/.7246 _223
100	1		_aApplebaum, David, _d1956- _eauthor.
245	1	0	_aSemigroups of linear operators : _bwith applications to analysis, probability and physics / _cDavid Applebaum.
264		1	_aCambridge : _bCambridge University Press, _c2019.
300			_a1 online resource (x, 223 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v93
500			_aTitle from publisher's bibliographic system (viewed on 26 Jul 2019).
520			_aThe theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille-Yosida and Lumer-Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller-Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann-Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.
650		0	_aLinear operators _vTextbooks.
650		0	_aOperator theory _vTextbooks.
650		0	_aSemigroups _vTextbooks.
650		0	_aGroup theory _vTextbooks.
776	0	8	_iPrint version: _z9781108483094
830		0	_aLondon Mathematical Society student texts ; _v93.
856	4	0	_uhttps://doi.org/10.1017/9781108672641
999			_c514351 _d514349