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(Ebook) Geometric Function Theory in One and Higher Dimensions by Ian Graham, Gabriela Kohr ISBN 9780824709761, 9780824748241, 0824709764, 0824748247

  • SKU: EBN-992774
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Authors:Ian Graham, Gabriela Kohr
Pages:537 pages.
Year:2003
Editon:1
Publisher:Marcel Dekker
Language:english
File Size:18.21 MB
Format:pdf
ISBNS:9780824709761, 9780824748241, 0824709764, 0824748247
Categories: Ebooks

Product desciption

(Ebook) Geometric Function Theory in One and Higher Dimensions by Ian Graham, Gabriela Kohr ISBN 9780824709761, 9780824748241, 0824709764, 0824748247

Combining classical results in univalent function theory with recent analogous results in higher dimensions, this text offers a unique overview of the field and details results leading to improvements in existence theorems for the Loewner differential equation in higher dimensions. Graham (mathematics, U. of Toronto) and Kohr (mathematics and computer science, Babes-Bolyai U., Romania) discuss compactness of the analog of the Carathéodory class in several variables, Loewner chains in several variables, linear-invariant families applied to the Euclidean unit ball and the polydisc, Bloch mappings, and infinite-dimensional theory of univalent mappings. The book concludes with a study of the Roper-Suffridge extension operator"
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