Geometric Function Theory in One and Higher Dimensions
Ian Graham, Gabriela Kohr
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"
Categorie:
Anno:
2003
Edizione:
1
Casa editrice:
Marcel Dekker
Lingua:
english
Pagine:
537
ISBN 10:
0824748247
ISBN 13:
9780824748241
Collana:
Monographs and textbooks in pure and applied mathematics 255
File:
PDF, 18.21 MB
IPFS:
,
english, 2003