Finite or Infinite Dimensional Complex Analysis and Applications

1. Front Matter

   Pages i-xi

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2. Plenary Talks and Surveys

   1. Front Matter

      Pages xiii-xiii

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   2. Nevanlinna Theory and Diophantine Approximations

      • Pei-Chu Hu, Chung-Chun Yang

      Pages 1-19

   3. In Ramanujan’s Shadow

      • Irwin Kra

      Pages 21-33

   4. Holomorphic Functions on the Lie Ball and Related Topics

      • Mitsuo Morimoto, Keiko Fujita

      Pages 35-44

   5. Invariance of Plurigenera and Torsion-Freeness of Direct Image Sheaves of Pluricanonial Bundles

      • Yum-Tong Siu

      Pages 45-83

   6. Maxwell’s Equations in Clifford Calculus Framework — An Overview on the Development

      • Wolfgang Sprößig

      Pages 85-100

   7. Generalized Analytic Functions and their Contributions to the Development of Mathematical Analysis

      • W. Tutschke

      Pages 101-114

3. Complex Methods in the Plane

   1. Front Matter

      Pages 115-115

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   2. On Q _p Sequences

      • Rauno Aulaskari, Shamil Makhmutov, Hasi Wulan

      Pages 117-125

   3. Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization

      • Dinh Ang Dang, Vy Khoi Le, Duc Trong Dang

      Pages 127-142

   4. P-Adic Interpolation and Applications

      • Huy Khoai Ha, Thi Hoai Thu Le

      Pages 143-151

   5. Refined Order and the Paley Problem in Vector Spaces

      • Chuan-Gan Hu, Chao Liu

      Pages 153-167

   6. Integral Representation of P-Adic Functions

      • Thi Hoai Thu Le

      Pages 169-179

   7. Malmquist-Yosida Type Theorems for Algebraic Differential Equations

      • Liangwen Liao, Chung-Chun Yang

      Pages 181-191

   8. Transformation Techniques for Partial Differential Equations

      • Jürgen Püngel

      Pages 193-205

   9. Besov-Type Characterizations for Quaternione Bloch Functions

      • O. L. F. Reséndis, S. L. M. Tovar

      Pages 207-219

   10. Bergman and Bauer Operators for Elliptic Equations in Two Independent Variables

       • K. W. Tomantschger

       Pages 221-243

   11. Some Results On Q _K -Type Spaces

       • Hasi Wulan

       Pages 245-252

4. Analysis in Higher Dimensions

   1. Front Matter

      Pages 253-253

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There is almost no field in Mathematics which does not use Mathe­ matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero­ morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com­ plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.

• analytic function
• Complex analysis
• differential equation
• Interpolation
• locally convex space
• Meromorphic function
• Nevanlinna theory
• ordinary differential equation
• partial differential equation
• Torsion
• partial differential equations

• Faculty of Applied Mathematics, Hanoi University of Technology, Hanoi, Vietnam

  Hung Son Le

• Department of Mathematics D, Graz University of Technology, Graz, Austria

  W. Tutschke

• Department of Mathematics, Hong Kong University of Sciences and Technology, Hong Kong, China

  C. C. Yang

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