000			02904nam a22003978i 4500
001			CR9781139226752
003			UkCbUP
005			20200124160213.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120111s2016||||enk o ||1 0|eng|d
020			_a9781139226752 (ebook)
020			_z9781107027770 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA322.4 _b.F73 2016
082	0	0	_a515/.733 _223
100	1		_aFricain, Emmanuel, _d1971- _eauthor.
245	1	4	_aThe theory of H(b) spaces. _nVolume 1 / _cEmmanuel Fricain, Javad Mashreghi.
264		1	_aCambridge : _bCambridge University Press, _c2016.
300			_a1 online resource (xix, 681 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aNew mathematical monographs ; _v20
500			_aTitle from publisher's bibliographic system (viewed on 05 May 2016).
505	8		_aMachine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index.
520			_aAn H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.
650		0	_aHilbert space.
650		0	_aHardy spaces.
650		0	_aAnalytic functions.
650		0	_aLinear operators.
700	1		_aMashreghi, Javad, _eauthor.
776	0	8	_iPrint version: _z9781107027770
830		0	_aNew mathematical monographs ; _v20.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139226752
999			_c516008 _d516006