000			02344nam a22003137a 4500
999			_c57027 _d57027
005			20211006162956.0
008			210728b ||||| |||| 00| 0 eng d
020			_a9781107027770
028			_a:Raghav Books Private Limited _b:A-184 Nand Gram Ghaziabad _c:11 _d:13/04/2021
082			_a515.733 FRI
100			_aFricain, Emmanuel,
245			_aThe Theory of H(b) spaces _c/ Emmanuel Fricain;
260			_aCambridge : _b Cambridge University Press, _c. ©2016
300			_axix, 681 pages _c24cm.
365			_b15269
490			_aNew mathematical monographs, 20.
505			_aNormed linear spaces and their operators -- Some families of operators -- Harmonic functions on the open unit disk -- Hardy spaces -- More function spaces -- Extreme and exposed points -- More advanced results in operator theory -- The shift operator -- Analytic reproducing kernel Hilbert spaces -- Bases in Banach spaces -- Hankel operators -- Toeplitz operators -- Cauchy transform and Clark measures -- Model subspaces Ko -- Bases of reproducing kernels and interpolation.
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			_aMathematics
650			_a Analysis
650			_aHilbert space.
650			_aHardy spaces.
650			_aLinear operators.
650			_aAnalytic functions.
650			_aMATHEMATICS -- Mathematical Analysis.
700			_aFricain, Emmanuel
700			_aMashreghi, Javad
942			_cBOOK