Finite or Infinite Dimensional Complex Analysis and Applications

✍ Scribed by Pei-Chu Hu, Chung-Chun Yang (auth.), Hung Son Le, W. Tutschke, C. C. Yang (eds.)

• Publisher: Springer US
• Year: 2004
• Tongue: English
• Leaves: 379
• Series: Advances in Complex Analysis and Its Applications 2
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages xiii-xiii
Nevanlinna Theory and Diophantine Approximations....Pages 1-19
In Ramanujan’s Shadow....Pages 21-33
Holomorphic Functions on the Lie Ball and Related Topics....Pages 35-44
Invariance of Plurigenera and Torsion-Freeness of Direct Image Sheaves of Pluricanonial Bundles....Pages 45-83
Maxwell’s Equations in Clifford Calculus Framework — An Overview on the Development....Pages 85-100
Generalized Analytic Functions and their Contributions to the Development of Mathematical Analysis....Pages 101-114
Front Matter....Pages 115-115
On Q p Sequences....Pages 117-125
Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization....Pages 127-142
P-Adic Interpolation and Applications....Pages 143-151
Refined Order and the Paley Problem in Vector Spaces....Pages 153-167
Integral Representation of P-Adic Functions....Pages 169-179
Malmquist-Yosida Type Theorems for Algebraic Differential Equations....Pages 181-191
Transformation Techniques for Partial Differential Equations....Pages 193-205
Besov-Type Characterizations for Quaternione Bloch Functions....Pages 207-219
Bergman and Bauer Operators for Elliptic Equations in Two Independent Variables....Pages 221-243
Some Results On Q K -Type Spaces....Pages 245-252
Front Matter....Pages 253-253
Representations in Polydomains....Pages 255-268
On B Q Spaces of Hyperholomorphic Functions and the Bloch Space in R 3 ....Pages 269-286
Regeneration in Complex, Quaternion and Clifford Analysis....Pages 287-298
A Note on Sesquilinear Forms and the Generalized Uncertainty Relations in *-Algebras....Pages 299-308
Front Matter....Pages 253-253
The Hartogs Extension Theorem for the Multi-Regular Functions Taking Values in a Clifford Algebra....Pages 309-322
The Extension of Entire Functions of Nuclear Type on Locally Convex Spaces....Pages 323-330
Some Properties of the Inhomogeneous Generalized Cauchy-Riemann Systems in Quaternionic Algebra and its Applications....Pages 331-343
The Fundamental Solution of the Hyperbolic Dirac-Equation....Pages 345-359
Inhomogeneous Ordinary Differential Equations and Local Cohomologies and Residues....Pages 361-370
Infinite Dimensional CR Category....Pages 371-381

✦ Subjects

Several Complex Variables and Analytic Spaces; Partial Differential Equations; Functions of a Complex Variable; Special Functions