## Finite or Infinite Dimensional Complex AnalysisThis 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. |

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### Contents

Quasinormability of Vector Valued Sequence Spaces | 21 |

Approximation Numbers for Polynomials | 35 |

The PisierSchütt Theorem for Spaces of Polynomials | 55 |

On Convergence of Trigonometric Interpolation for Periodic Analytic | 69 |

Extension of Pluriharmonic Functions in Locally Convex Spaces | 87 |

Regeneration in Complex Quaternionic and Clifford Analysis | 95 |

Spaces of BanachValued Holomorphic Functions in the Polydisk | 109 |

Univalent C Mappings on the Unit Ball in C | 125 |

Local Cohomology and Ideal of Partial Differential Operators | 345 |

The Extension Problem for the Maxwell System with Additional Conditions | 363 |

The Extension of Holomorphic Functions on a Nuclear Space | 389 |

Hamiltonian Algorithm for Sound Synthesis | 401 |

Mitsuo Morimoto International Christian University Tokyo Japan | 409 |

Boundary Behavior of Nonlocally Convex VectorValued Hardy Classes | 427 |

Boundary Properties of AxialSymmetrical Potential and Stokes Flow | 443 |

Bessel Function by Parallel Integration of ODEs under Parallel Virtual | 457 |

Stability of Solutions for Singular Integral Equations for Two Classes | 139 |

On Distortion Theorem for NSet Quasiconformal Mappings | 157 |

Characterizations of Holomorphy of Domains through Validity | 179 |

Envelope of Biregularity and FConvexity in Clifford Analysis | 201 |

Généralisation du Produit de Blaschke dans le BidisqueUnité | 219 |

On the ArithmeticGeometric Mean Inequality | 233 |

Matrix Criteria for the Extension of Solutions of the General Linear System | 267 |

Existence of the Solutions of the CauchyRiemann Equations | 283 |

An Inequality of Teichmüllers Distance | 301 |

The Grassmannian Manifold Associated to a Bounded Symmetric Domain | 317 |

A Characterization of Analytic Functionals on the Sphere I | 331 |

Some Results for Modified KontorovitchLebedev Integral Transforms | 473 |

Dynamics of Transcendental Meromorphic Functions | 479 |

Exponential Forms with Exponential Growth | 495 |

Finely Holomorphic Functions in ContourSolid and Cluster Problems | 511 |

Roundoff Errors of Residual in Boundary Value Problems | 533 |

Special Reflexive Modules and the First Chern Class | 549 |

Normality and Julia Sets | 583 |

ANormal Functions and Complex Differential Equations | 605 |

On Estimate for Some Bilinear Forms | 625 |

### Other editions - View all

Finite or Infinite Dimensional Complex Analysis Joji Kajiwara,Zhong Li,Kwang Ho Shon Limited preview - 2019 |

Finite or Infinite Dimensional Complex Analysis Joji Kajiwara,Zhong Li,Kwang Ho Shon Limited preview - 2019 |

### Common terms and phrases

algebra analytic functions Applications assume Banach space basis biholomorphic biregular functions bounded called Clifford closed compact complex Complex Variables component computed connected consider constant constructed contains continuous convergence corresponding defined Definition deformation denote Differential Equations dimension domain element equation equivalent estimate Example exists extension field finite fixed formula function f germ give given Hence holds holomorphic functions holomorphic mappings inequality infinite dimensional integral introduce Lemma linear locally convex space manifold Math Mathematics modular norm normal Note obtain operator polynomials positive problem projective Proof Proposition proved rank References Remark respect result Riemann satisfies sequence singularities solution studied subset sufficient Suppose surface symmetric Theorem theory tions topology unique unit University vector