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Geometric function theory in one and higher dimensions

By: Contributor(s): Material type: TextLanguage: English Series: Monographs and textbooks in pure and applied mathematics ; 255Publication details: New York : Marcel Dekker, 2003.Description: xv, 530 p. : ill. ; 24 cmISBN:
  • 9780367395339
Subject(s): Other classification:
  • B67 P3 NBHM
Summary: This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study. The authors present such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces.
Item type: Textual
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Textual Faculty of Mathematical Sciences Library Central Science Library B67 P3 NBHM (Browse shelf(Opens below)) Available SL1656194

Includes bibliography (p. 477-520) and index.

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study. The authors present such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces.

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