000			02061nam a22002897a 4500
005			20220908112616.0
008			220330b |||||||| |||| 00| 0 eng d
020			_a9780387940670
028			_a:Technical Bureau India Pvt. Ltd. _b:E/261, Shastri Nagar Delhi _c:TB5848 _d;28/03/2022
082			_a515.7246 SHA
100			_aShapiro, Joel H.
245			_aComposition Operators and Classical Function Theory _c/ Joel H Shapiro
260			_aNew York _b : Springer-Verlag, _c©1993.
300			_axiii, 223 pages : illustrations _c; 24 cm.
365			_b5784
505			_a Linear Fractional Prologue -- Littlewood's Theorem -- Compactness: Introduction -- Compactness and Univalence -- The Angular Derivative -- Angular Derivatives and Iteration -- Compactness and Eigenfunctions -- Linear Fractional Cyclicity -- Cyclicity and Models -- Compactness from Models -- Compactness: General Case.
520			_aThe study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings. The development is geometrically motivated, and accessible to anyone who has studied basic graduate-level real and complex analysis. The work explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evolve - in the setting of composition operators on the Hilbert space H2 into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Each of these classical topics is developed fully, and particular attention is paid to their common geometric heritage as descendants of the Schwarz Lemma.
650			_aMathematics
650			_aAnalysis
650			_aComposition operators.
650			_aGeometrische Funktionentheorie
650			_aGeometric function theory.
650			_aOperatoren.
650			_aOperatoren.
700			_aShapiro, Joel H.
942			_cBOOK
999			_c58981 _d58981