02344nam a22003137a 4500 57027 57027 20211006162956.0 210728b ||||| |||| 00| 0 eng d 9781107027770 :Raghav Books Private Limited :A-184 Nand Gram Ghaziabad :11 :13/04/2021 515.733 FRI Fricain, Emmanuel, The Theory of H(b) spaces / Emmanuel Fricain; Cambridge : Cambridge University Press, . ©2016 xix, 681 pages 24cm. 15269 New mathematical monographs, 20. Normed 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. An 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 Mathematics Analysis Hilbert space. Hardy spaces. Linear operators. Analytic functions. MATHEMATICS -- Mathematical Analysis. Fricain, Emmanuel Mashreghi, Javad BOOK 0 0 ddc Vol 1 0 0 SNUL SNUL 2021-07-28 Raghav Books Private Limited 15269.00 1 515.733 FRI 27995 2022-08-24 2022-02-24 00:00:00 2022-02-24 2021-07-28 BOOK Grant Matrix