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.

Table of Contents:
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 Nevanlinna’s 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 Oka’s 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 Teichmiiller’s 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