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E-raamat: Finite or Infinite Dimensional Complex Analysis

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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.
Contributors.
1. Modular Space for Complete Intersection
Curve-Singularities
2. Quasinormability of Vector Valued Sequence Spaces
3.
Holomorphic Mappings and Cardinality
4. Approximation Numbers for Polynomials
5. Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg
Laplacian
6. The Pisier-Schtitt Theorem for Spaces of Polynomials
7.
Canonical v. Functional Extensions of Holomorphic Functions
8. On Convergence
of Trigonometric Interpolation for Periodic Analytic Functions
9. On the
Double Series Expansion with Harmonic Components
10. Extension of
Pluriharmonic Functions in Locally Convex Spaces
11. Regeneration in Complex,
Quatemionic, and Clifford Analysis
12. Schauder Decompositions of Weighted
Spaces of Holomorphic Functions
13. Spaces of Banach-Valued Holomorphic
Functions in the Polydisk in Connection with Their Boundary Values
14.
Univalent C1 Mappings on the Unit Ball in Cn
15. The Growth Theorem of
Biholomorphic Mappings on a Banach Space
16. Stability of Solutions for
Singular Integral Equations for Two Classes in Locally Convex Spaces
17. The
Nevanlinnas First Main Theorem for Holomorphic Hermitian Line Bundles
18. On
Distortion Theorem for TV-Set Quasiconformal Mappings
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
20.
Characterizations of Holomorphy of Domains through Validity of Theorem A, B
or Okas Principle
21. Envelope of Biregularity and F-Convexity in Clifford
Analysis
22. On a Representative Domain in Matrix Space
23. A New
Approximation of the Navier-Stokes Equations
24. Generalisation du Produit de
Blaschke dans le Bidisque-Unite
25. P- Spaces
26. On the Arithmetic-Geometric
Mean Inequality
27. Weakly Sufficient Sequences in the Space of Functions of
Polynomial Growth
28. Some New Results of Clifford Analysis in Higher
Dimensions
29. Matrix Criteria for the Extension of Solutions of the General
Linear System of Partial Differential Equations with Function Coefficients
30. Existence of the Solutions of the Cauchy-Riemann Equations
31. Solution
of a Class of Periodic Hypersingular Integral Equations
32. On Two Questions
in Clifford Analysis and Octonion Analysis
33. An Inequality of
Teichmiillers Distance
34. Cyclically Symmetric Circular Crack Problems of
Different Media
35. The Grassmannian Manifold Associated to a Bounded
Symmetric Domain
36. Holomorphic Mappings and Weak Continuity
37. A
Characterization of Analytic Functionals on the Sphere I
38. Ideals of
Holomorphic Functions on Infinite Dimensional Spaces
39. Local Cohomology and
Ideal of Partial Differential Operators
40. On the Large Time Behavior of
Solutions of Some Nonlinear Degenerate Parabolic System
41. The Extension
Problem for the Maxwell System with Additional Conditions
42. Application of
Extension Theorem of the Solution of a First Order General Linear System of
Partial Differential Equations
43. The Extension of Holomorphic Functions on
a Nuclear Space
44. Characterization of Clifford Differentiable Functions
45.
Hamiltonian Algorithm for Sound Synthesis
46. Proper Inclusions of Function
Spaces and Ryll-Wojtaszczyk Polynomials on die Unit Ball of Cn
47. Boundary
Behavior of Nonlocally Convex Vector-Valued Hardy Classes in the Complex Ball
48. Boundary Properties of Axial-Symmetrical Potential and Stokes Flow
Function
49. Bessel Function by Parallel Integration of ODEs under Parallel
Virtual Machine Environment
50. Numerical Simulation of Air Core Magnet in 3
Dimensions under PVM Environment
51. Some Results for Modified
Kontorovitch-Lebedev Integral Transforms
52. Dynamics of Transcendental
Meromorphic Functions
53. Exponential Forms with Exponential Growth
54.
Grothendieck Duality and Hermite-Jacobi Formula
55. Finely Holomorphic
Functions in Contour-Solid and Cluster Problems
56. Infinitesimal Parameter
Spaces of Locally Trivial Deformations of Compact Complex Surfaces with
Ordinary Singularities
57. Round-off Errors of Residual in Boundary Value
Problems by Chebyshev Series
58. Special Reflexive Modules and the First Chem
Class
59. Normality and Julia Sets
60. Some Results on Extremal
Quasiconformal Mappings
61. a-Normal Functions and Complex Differential
Equations
62. Entire Functions that Share One Value with One of Their
Derivatives
63. On Estimate for Some Bilinear Forms
Joji Kajiwara Kyushu University, Fukuoka, Japan. Zhong Li Peking University, Beijing, P. R. China, Kwang Ho Shon Pusan National University, Pusan, Korea