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Summary
Summary
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.
Author Notes
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 | p. iii |
| Contributors | p. xi |
| 1. Modular Space for Complete Intersection Curve-Singularities | p. 1 |
| 2. Quasinormability of Vector Valued Sequence Spaces | p. 21 |
| 3. Holomorphic Mappings and Cardinality | p. 29 |
| 4. Approximation Numbers for Polynomials | p. 35 |
| 5. Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg Laplacian | p. 47 |
| 6. The Pisier-Schutt Theorem for Spaces of Polynomials | p. 55 |
| 7. Canonical v. Functional Extensions of Holomorphic Functions | p. 63 |
| 8. On Convergence of Trigonometric Interpolation for Periodic Analytic Functions | p. 69 |
| 9. On the Double Series Expansion with Harmonic Components | p. 77 |
| 10. Extension of Pluriharmonic Functions in Locally Convex Spaces | p. 87 |
| 11. Regeneration in Complex, Quaternionic, and Clifford Analysis | p. 95 |
| 12. Schauder Decompositions of Weighted Spaces of Holomorphic Functions | p. 103 |
| 13. Spaces of Banach-Valued Holomorphic Functions in the Polydisk in Connection with Their Boundary Values | p. 109 |
| 14. Univalent C[superscript 1] Mappings on the Unit Ball in C[superscript n] | p. 125 |
| 15. The Growth Theorem of Biholomorphic Mappings on a Banach Space | p. 133 |
| 16. Stability of Solutions for Singular Integral Equations for Two Classes in Locally Convex Spaces | p. 139 |
| 17. The Nevanlinna's First Main Theorem for Holomorphic Hermitian Line Bundles | p. 149 |
| 18. On Distortion Theorem for N-Set Quasiconformal Mappings | p. 157 |
| 19. 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 | p. 169 |
| 20. Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle | p. 179 |
| 21. Envelope of Biregularity and J-Convexity in Clifford Analysis | p. 201 |
| 22. On a Representative Domain in Matrix Space | p. 209 |
| 23. A New Approximation of the Navier-Stokes Equations | p. 213 |
| 24. Generalisation du Produit de Blaschke dans le Bidisque-Unite | p. 219 |
| 25. P-Spaces | p. 227 |
| 26. On the Arithmetic-Geometric Mean Inequality | p. 233 |
| 27. Weakly Sufficient Sequences in the Space of Functions of Polynomial Growth | p. 237 |
| 28. Some New Results of Clifford Analysis in Higher Dimensions | p. 245 |
| 29. Matrix Criteria for the Extension of Solutions of the General Linear System of Partial Differential Equations with Function Coefficients | p. 267 |
| 30. Existence of the Solutions of the Cauchy-Riemann Equations | p. 283 |
| 31. Solution of a Class of Periodic Hypersingular Integral Equations | p. 289 |
| 32. On Two Questions in Clifford Analysis and Octonion Analysis | p. 293 |
| 33. An Inequality of Teichmuller's Distance | p. 301 |
| 34. Cyclically Symmetric Circular Crack Problems of Different Media | p. 309 |
| 35. The Grassmannian Manifold Associated to a Bounded Symmetric Domain | p. 317 |
| 36. Holomorphic Mappings and Weak Continuity | p. 325 |
| 37. A Characterization of Analytic Functionals on the Sphere I | p. 331 |
| 38. Ideals of Holomorphic Functions on Infinite Dimensional Spaces | p. 337 |
| 39. Local Cohomology and Ideal of Partial Differential Operators | p. 345 |
| 40. On the Large Time Behavior of Solutions of Some Nonlinear Degenerate Parabolic System | p. 353 |
| 41. The Extension Problem for the Maxwell System with Additional Conditions | p. 363 |
| 42. Application of Extension Theorem of the Solution of a First Order General Linear System of Partial Differential Equations | p. 373 |
| 43. The Extension of Holomorphic Functions on a Nuclear Space | p. 389 |
| 44. Characterization of Clifford Differentiable Functions | p. 395 |
| 45. Hamiltonian Algorithm for Sound Synthesis | p. 401 |
| 46. Proper Inclusions of Function Spaces and Ryll-Wojtaszczyk Polynomials on the Unit Ball of C[superscript n] | p. 409 |
| 47. Boundary Behavior of Nonlocally Convex Vector-Valued Hardy Classes in the Complex Ball | p. 427 |
| 48. Boundary Properties of Axial-Symmetrical Potential and Stokes Flow Function | p. 443 |
| 49. Bessel Function by Parallel Integration of ODEs under Parallel Virtual Machine Environment | p. 457 |
| 50. Numerical Simulation of Air Core Magnet in 3 Dimensions under PVM Environment | p. 465 |
| 51. Some Results for Modified Kontorovitch-Lebedev Integral Transforms | p. 473 |
| 52. Dynamics of Transcendental Meromorphic Functions | p. 479 |
| 53. Exponential Forms with Exponential Growth | p. 495 |
| 54. Grothendieck Duality and Hermite-Jacobi Formula | p. 503 |
| 55. Finely Holomorphic Functions in Contour-Solid and Cluster Problems | p. 511 |
| 56. Infinitesimal Parameter Spaces of Locally Trivial Deformations of Compact Complex Surfaces with Ordinary Singularities | p. 523 |
| 57. Round-off Errors of Residual in Boundary Value Problems by Chebyshev Series | p. 533 |
| 58. Special Reflexive Modules and the First Chern Class | p. 549 |
| 59. Normality and Julia Sets | p. 583 |
| 60. Some Results on Extremal Quasiconformal Mappings | p. 591 |
| 61. [alpha]-Normal Functions and Complex Differential Equations | p. 605 |
| 62. Entire Functions that Share One Value with One of Their Derivatives | p. 617 |
| 63. On Estimate for Some Bilinear Forms | p. 625 |
