000			02470nam a22003137a 4500
005			20220531113305.0
008			220325b |||||||| |||| 00| 0 eng d
020			_a9780849384929
028			_a;Zafaa Books & Distributors _b:313/56F 49A, Anand Nagar Inderlok Delhi 110035 _c;ZBD0847 _d:19/03/2022
082			_a515.73 COW
100			_aCowen, Carl C
245			_aComposition operators on spaces of analytic functions _c/ Carl C Cowen
260			_aBoca Raton _b: CRC Press, _c1995
300			_axii, 388 pages : illustrations _c ; 25 cm
365			_b15705
490			_aStudies in advanced mathematics.
505			_a 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.
520			_aThe 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
650			_aMathematics
650			_aAnalysis
650			_aComposition operators.
650			_aAnalytic spaces.
650			_aOperator.
650			_aAnalytische Funktion.
650			_aSpaces (Mathematics)
700			_aCowen, Carl C
700			_aMacCluer, Barbara D.
942			_cBOOK
999			_c58960 _d58960