02470nam a22003137a 4500 20220531113305.0 220325b |||||||| |||| 00| 0 eng d 9780849384929 ;Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035 ;ZBD0847 :19/03/2022 515.73 COW Cowen, Carl C Composition operators on spaces of analytic functions / Carl C Cowen Boca Raton : CRC Press, 1995 xii, 388 pages : illustrations ; 25 cm 15705 Studies in advanced mathematics. 1. Introduction -- 2. Analysis Background -- 3. Norms -- 4. Small Spaces -- 5. Large Spaces -- 6. Special Results for Several Variables -- 7. Spectral Properties -- 8. Normality -- 9. Miscellanea. The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book. By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory Mathematics Analysis Composition operators. Analytic spaces. Operator. Analytische Funktion. Spaces (Mathematics) Cowen, Carl C MacCluer, Barbara D. BOOK 58960 58960 0 0 ddc 0 0 SNUL SNUL 2022-03-25 Zafaa Books & Distributors 15705.00 1 515.73 COW 28548 2022-10-16 2022-09-15 00:00:00 2022-09-15 2022-03-25 BOOK Books Shifted to Mathematics Dept (Grant Matrix)