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Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics (M. Dekker)) - Hardcover

Graham, Ian; Kohr, Gabriela

  • 4.33 out of 5 stars
    6 ratings by Goodreads
 
9780824709761: Geometric Function Theory in One and Higher Dimensions (Pure and Applied Mathematics (M. Dekker))
Hardcover
ISBN 10: 0824709764 ISBN 13: 9780824709761
Publisher: CRC Press, 2003

Synopsis

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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About the Author

Graham, Ian; Kohr, Gabriela

"About this title" may belong to another edition of this title.

Publisher
CRC Press
Publication date
2003
Language
English
ISBN 10 
0824709764
ISBN 13 
9780824709761
Binding
Hardcover
Edition number
1
Number of pages
560
Rating
  • 4.33 out of 5 stars
    6 ratings by Goodreads