Theory of Complex Homogeneous Bounded Domains

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Springer Science & Business Media, Dec 6, 2005 - Mathematics - 427 pages
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Theory of Complex Homogeneous Bounded Domains studies the classification and function theory of complex homogeneous bounded domains systematically for the first time. In the book, the Siegel domains are discussed in detail. Proofs are given for 1: every homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain, and 2: every homogeneous Siegel domain is affine isomorphic to a normal Siegel domain. Using the normal Siegel domains to realize the homogeneous bounded domains, we can obtain more property of the geometry and the function theory on homogeneous bounded domains.

This book is suitable for graduate students, and researchers in mathematics.

 

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Contents

II
1
III
11
IV
20
V
32
VI
47
VII
56
VIII
65
IX
73
XXIV
278
XXV
282
XXVI
284
XXVII
291
XXVIII
292
XXIX
303
XXX
313
XXXI
319

X
101
XI
124
XII
139
XIII
145
XIV
151
XV
164
XVI
181
XVII
182
XVIII
204
XIX
210
XX
232
XXI
237
XXII
253
XXIII
265
XXXII
329
XXXIII
330
XXXIV
339
XXXV
344
XXXVI
355
XXXVII
361
XXXVIII
371
XXXIX
378
XL
391
XLI
406
XLII
411
XLIII
425
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About the author (2005)

Y. Xu is at the International Maize and Wheat Improvement Center, Mexico.

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