Finite or Infinite Dimensional Complex Analysis

by Li; Zhong

• ISBN13: 9780824704421
• ISBN10: 0824704428
• Format: Nonspecific Binding
• Copyright: 2000-07-11
• Publisher: CRC Press

Summary

Presents the proceedings from the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis, held in Fukuoka, Japan. Presents the up-to-date research results on several theories including function theory of one complex variable, and several complex variables. Softcover.

Author Biography

A. G. Aleksandrov: Max Planck Institute for Mathematics, Bonn, Germany Fernando Blasco: Polytechnical University of Madrid, Madrid, Spain Christopher Boyd: University College Dublin, Belfield, Dublin, Ireland H.-A. Braunss: University of Potsdam, Potsdam, Germany Der-Chen Chang: Georgetown University, Washington, DC Zeqian Chen: Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, P.R. China Andreas Defant: University of Valencia, Burjasot (Valencia), Spain Nikhil Dhoble: Computer Centre, Centre for Advanced Technology, Indore, India Juan Carlos Diaz: University of Valencia, Burjasot (Valencia), Spain Sean Dineen: University College Dublin, Belfield, Dublin, Ireland Jinyuan Du: Wuhan University, Wuhan, Hubei, P. R. China Keiko Fujita: Saga University, Saga, Japan Yukio Fukushima: Fukuoka University, Fukuoka, Japan Domingo Garcia: University of Valencia, Burjasot (Valencia), Spain Vagif S. Guliev: Baku State University, Baku, Azerbaijan Hidetaka Hamada: Kyushu Kyoritsu University, Kitakyushu, Japan Tatsuhiro Honda: Ariake National College of Technology, Fukuoka, Japan Chuan-Gan Hu: Nankai University, Tianjin, P. R. China Xinzhong Huang: Huaqiao University, Fujian, P. R. China Yoichi Imayoshi: Osaka City University, Osaka, Japan Manabu Ito: Osaka City University, Osaka, Japan Jian-Hua Jia: Nankai University, Tianjin, P. R. China H. Junek: University of Potsdam, Potsdam, Germany Joji Kajiwara: Kyushu University, Fukuoka, Japan Tadayoshi Kanemaru: Kumamoto University, Kumamoto, Japan Hisako Kato: Kyushu University, Fukuoka, Japan Kazuko Kato: University of Ryukoku, Ootsu, Japan Boris S. Khots: Compressor Controls Corporation, Des Moines, Iowa Gabriela Kohr: Babes-Bolyai University, Cluj-Napoca, Romania Ern Gun Kwon: Andong National University, Andong, Korea Hai Khoi Le: Hanoi Institute of Information Technology, Hanoi, Vietnam Hung Son Le: Hanoi University of Technology, Hanoi, Vietnam Jinkee Lee: Pusan National University, Pusan, Korea Lin Li: Jinan Television University, Jinan, P. R. China Xiao Dong Li: University of Electronic Science and Technology of China, Sichuan, P. R. China Xing Li: Ningxia University, Ningxia, P. R. China Xing-min Li: Guangzhou Normal University, Guangzhou, P. R. China Zhong Li: Peking University, Beijing, P. R. China Chao Liu: Nankai University, Tianjin, P. R. China Hua Liu: Wuhan University, Wuhan, Hubei, P. R. China Jianke Lu: Wuhan University, Wuhan, P. R. China Michael Mackey: University College Dublin, Belfield, Dublin, Ireland Manuel Maestre: University of Valencia, Burjasot (Valencia), Spain Shriram Padmakar Mhaskar: Magnet Development Laboratory, Centre for Advanced Technology, Indore, India Luiza Amalia de Moraes: Federal University of Rio de Janeiro, Rio de Janeiro, R.J., Brasil Mitsuo Morimoto: International Christian University, Tokyo, Japan Jorge Mujica: IMECC-UNICAMP, Campinas, SP, Brazil Yayoi Nakamura: Ochanomizu University, Tokyo, Japan Tokumori Nanbu: Toyama Medical and Pharmaceutical University, Toyama, Japan Thanh Van Nguyen: Hanoi University of Technology, Hanoi, Vietnam Masaru Nishihara: Fukuoka Institute of Technology, Fukuoka, Japan Kiyoharu Nono: Fukuoka University of Education, Munakata, Japan Ken'ichi Ohya: Nagano National College of Technology, Nagano, Japan Caiheng Ouyang: Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, P. R. China Sergiy Plaksa: Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, Ukraine E. Plewnia: Dusseldorf, Germany Vadla Mohammad Raffee: Computer Centre, Centre for Advanced Technology, Indore, India Renuka Rajput: Magnet Development Laboratory, Centre for Advanced Technology, Indore, India Juri Rappoport: Russian Academy of Sciences, Moscow, Russian Federation Anil Rawat: Computer Centre, Centre for Advanced Technology, Indore, India Pilar Rueda: University of Valencia, Burjasot (Valencia), Spain Kazumasa Shinjo: ATR Adaptive Communications Research Labs, Kyoto, Japan Kwang Ho Shon: Pusan National University, Pusan, Korea A. P. Singh: University of Jammu, Jammu, India Roberto Luiz Soraggi: Rio de Janeiro -- RJ, Brazil Masanori Suwa: Sophia University, Tokyo, Japan Shinichi Tajima: Niigata University, Niigata, Japan Promarz M. Tamrazov: Institute of Mathematics, National Ukrainian Academy of Sciences, Kiev, Ukraine Jingzhi Tie: University of Georgia, Athens, Georgia Shoji Tsuboi: Kagoshima University, Kagoshima, Japan Kumiko Tsuji: Teikyo University, Fukuoka Junior College, Ohmuta, Japan Miki Tsuji: Kyushu University, Fukuoka, Japan Yuefei Wang: Institute of Mathematics, Academia Sinica, Beijing, P. R. China Shengjian Wu: Peking University, Beijing, P. R. China Hasi Wulan: Inner Mongolia Normal University, Hohhot, P. R. China Hiroshi Yamamoto: Osaka, Japan Lian-Zhong Yang: Shandong University, Shandong, P. R. China Xiu-Fang Ye: Nankai University, Tianjin, P. R. China Mamoru Yoshida: Fukuoka University, Fukuoka, Japan Dong-Guo Zhou: Dalian Railway Medical School, Dalian, P. R. China

Table of Contents

Preface	iii
Contributors	xi
Modular Space for Complete Intersection Curve-Singularities	1	(20)
A. G. Aleksandrov
Quasinormability of Vector Valued Sequence Spaces	21	(8)
F. Blasco
Holomorphic Mappings and Cardinality	29	(6)
C. Boyd
Approximation Numbers for Polynomials	35	(12)
H.-A. Braunss
H. Junek
E. Plewnia
Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg Laplacian	47	(8)
D.-C. Chang
J. Tie
The Pisier-Schutt Theorem for Spaces of Polynomials	55	(8)
A. Defant
J. C. Diaz
D. Garcia
M. Maestre
Canonical v. Functional Extensions of Holomorphic Functions	63	(6)
S. Dineen
On Convergence of Trigonometric Interpolation for Periodic Analytic Functions	69	(8)
J. Du
H. Liu
On the Double Series Expansion with Harmonic Components	77	(10)
K. Fujita
Extension of Pluriharmonic Functions in Locally Convex Spaces	87	(8)
Y. Fukushima
Regeneration in Complex, Quaternionic, and Clifford Analysis	95	(8)
Y. Fukushima
Schauder Decompositions of Weighted Spaces of Holomorphic Functions	103	(6)
D. Garcia
M. Maestre
P. Rueda
Spaces of Banach-Valued Holomorphic Functions in the Polydisk in Connection with Their Boundary Values	109	(16)
V. S. Guliev
Univalent C1 Mappings on the Unit Ball in Cn	125	(8)
H. Hamada
G. Kohr
The Growth Theorem of Biholomorphic Mappings on a Banach Space	133	(6)
T. Honda
Stability of Solutions for Singular Integral Equations for Two Classes in Locally Convex Spaces	139	(10)
C.-G. Hu
J.-H. Jia
C. Liu
The Nevanlinna's First Main Theorem for Holomorphic Hermitian Line Bundles	149	(8)
C.-G. Hu
X.-F. Ye
On Distortion Theorem for N-Set Quasiconformal Mappings	157	(12)
X. Huang
Monodromy of a Holomorphic Family of Riemann Surfaces: A Remark on Monodromy of a Holomorphic Family of Riemann Surfaces Induced by a Kodaira Surface and the Nielsen-Thurston-Bers Classification of Surface Automorphisms	169	(10)
Y. Imayoshi
M. Ito
H. Yamamoto
Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle	179	(22)
J. Kajiwara
Y. Fukushima
L. Li
X. D. Li
Envelope of Biregularity and F-Convexity in Clifford Analysis	201	(8)
J. Kajiwara
D.-G. Zhou
On a Representative Domain in Matrix Space	209	(4)
T. Kanemaru
A New Approximation of the Navier-Stokes Equations	213	(6)
H. Kato
Generalisation du Produit de Blaschke dans le Bidisque-Unite	219	(8)
K. Kato
P-Spaces	227	(6)
B. S. Khots
On the Arithmetic-Geometric Mean Inequality	233	(4)
E. G. Kwon
K. H. Shon
Weakly Sufficient Sequences in the Space of Functions of Polynomial Growth	237	(8)
H. K. Le
Some New Results of Clifford Analysis in Higher Dimensions	245	(22)
H. S. Le
Matrix Criteria for the Extension of Solutions of the General Linear System of Partial Differential Equations with Function Coefficients	267	(16)
H. S. Le
T. V. Nguyen
Existence of the Solutions of the Cauchy-Riemann Equations	283	(6)
J. Lee
K. H. Shon
Solution of a Class of Periodic Hypersingular Integral Equations	289	(4)
X. Li
On Two Questions in Clifford Analysis and Octonion Analysis	293	(8)
X.-M. Li
An Inequality of Teichmuller's Distance	301	(8)
Z. Li
Cyclically Symmetric Circular Crack Problems of Different Media	309	(8)
J. Lu
The Grassmannian Manifold Associated to a Bounded Symmetric Domain	317	(8)
M. Mackey
Holomorphic Mappings and Weak Continuity	325	(6)
L. A. de Moraes
A Characterization of Analytic Functionals on the Sphere I	331	(6)
M. Morimoto
M. Suwa
Ideals of Holomorphic Functions on Infinite Dimensional Spaces	337	(8)
J. Mujica
Local Cohomology and Ideal of Partial Differential Operators	345	(8)
Y. Nakamura
On the Large Time Behavior of Solutions of Some Nonlinear Degenerate Parabolic System	353	(10)
T. Nanbu
The Extension Problem for the Maxwell System with Additional Conditions	363	(10)
T. V. Nguyen
Application of Extension Theorem of the Solution of a First Order General Linear System of Partial Differential Equations	373	(16)
T. V. Nguyen
The Extension of Holomorphic Functions on a Nuclear Space	389	(6)
M. Nishihara
Characterization of Clifford Differentiable Functions	395	(6)
K. Nono
Hamiltonian Algorithm for Sound Synthesis	401	(8)
K. Ohya
K. Shinjo
Proper Inclusions of Function Spaces and Ryll-Wojtaszczyk Polynomials on the Unit Ball of Cn	409	(18)
C. Ouyang
Boundary Behavior of Nonlocally Convex Vector-Valued Hardy Classes in the Complex Ball	427	(16)
C. Ouyang
Z. Chen
Boundary Properties of Axial-Symmetrical Potential and Stokes Flow Function	443	(14)
S. Plaksa
Bessel Function by Parallel Integration of ODEs under Parallel Virtual Machine Environment	457	(8)
V. M. Raffee
Numerical Simulation of Air Core Magnet in 3 Dimensions under PVM Environment	465	(8)
V. M. Raffee
R. Rajput
N. Dhoble
A. Rawat
S. P. Mhaskar
Some Results for Modified Kontorovitch-Lebedev Integral Transforms	473	(6)
J. Rappoport
Dynamics of Transcendental Meromorphic Functions	479	(16)
A. P. Singh
Exponential Forms with Exponential Growth	495	(8)
R. L. Soraggi
Grothendieck Duality and Hermite-Jacobi Formula	503	(8)
S. Tajima
Finely Holomorphic Functions in Contour-Solid and Cluster Problems	511	(12)
P. M. Tamrazov
Infinitesimal Parameter Spaces of Locally Trivial Deformations of Compact Complex Surfaces with Ordinary Singularities	523	(10)
S. Tsuboi
Round-off Errors of Residual in Boundary Value Problems by Chebyshev Series	533	(16)
K. Tsuji
Special Reflexive Modules and the First Chern Class	549	(34)
M. Tsuji
Normality and Julia Sets	583	(8)
Y. Wang
Some Results on Extremal Quasiconformal Mappings	591	(14)
S. Wu
α-Normal Functions and Complex Differential Equations	605	(12)
H. Wulan
Entire Functions that Share One Value with One of Their Derivatives	617	(8)
L.-Z. Yang
On Estimate for Some Bilinear Forms	625
M. Yoshida