000			02097cam a22003975i 4500
001			21663681
003			BD-ChPU
005			20240507130915.0
006			m |o d |
007			cr |||||||||||
008			151113s2015 gw |||| o |||| 0|eng
010			_a 2019740238
020			_a9783319160597
024	7		_a10.1007/978-3-319-16059-7 _2doi
035			_a(DE-He213)978-3-319-16059-7
040			_aDLC _beng _epn _erda _cDLC _dBD-ChPU
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
072		7	_aPBKF _2thema
082	0	4	_a515.7 A456a 2015 _223
100	1		_aAlpay, Daniel. _eauthor.
245	1	3	_aAn Advanced Complex Analysis Problem Book : _bTopological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions / _cby Daniel Alpay.
250			_a1st ed. 2015.
300			_aix; 278 pages : _b24cm.
505	0		_aPrologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index.
520			_aThis is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
526			_aMathematics.
650		0	_aFunctional analysis.
650		0	_aOperator theory.
650	1	4	_aFunctional Analysis.
650	2	4	_aOperator Theory.
776	0	8	_z9783319160580
776	0	8	_z9783319160603
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2lcc _cBK
999			_c7523 _d7523