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E-raamat: Finite or Infinite Dimensional Complex Analysis: proceedings of the Seventh International Colloquium [Taylor & Francis e-raamat]

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Sixty-three papers from the 1999 colloquium report research results on complex variables, Clifford algebra variables, hyperfunctions, and numerical analysis. Examples of the topics are modular space for complete intersection curve-singularities, approximation numbers for polynomials, Schauder decompositions of weighted spaces of holomorphic functions, a new approximation of the Navier-Stokes equations, and Clifford analysis in higher dimensions. Other topics include cyclically symmetric circular crack problems of different media, the Grassmannian manifold associated to a bounded symmetric domain, local cohomology and ideal of partial differential operators, Hamiltonian Algorithm for sound synthesis, and special reflexive modules and the first Chern class. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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.
Preface iii Contributors xi Modular Space for Complete Intersection Curve-Singularities 1(20) A. G. Aleksandrov Quasinormability of Vector Valued Sequence Spaces 21(8) F. Blasco Holomorphic Mappings and Cardinality 29(6) C. Boyd Approximation Numbers for Polynomials 35(12) H.-A. Braunss H. Junek E. Plewnia Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg Laplacian 47(8) D.-C. Chang J. Tie The Pisier-Schutt Theorem for Spaces of Polynomials 55(8) A. Defant J. C. Diaz D. Garcia M. Maestre Canonical v. Functional Extensions of Holomorphic Functions 63(6) S. Dineen On Convergence of Trigonometric Interpolation for Periodic Analytic Functions 69(8) J. Du H. Liu On the Double Series Expansion with Harmonic Components 77(10) K. Fujita Extension of Pluriharmonic Functions in Locally Convex Spaces 87(8) Y. Fukushima Regeneration in Complex, Quaternionic, and Clifford Analysis 95(8) Y. Fukushima Schauder Decompositions of Weighted Spaces of Holomorphic Functions 103(6) D. Garcia M. Maestre P. Rueda Spaces of Banach-Valued Holomorphic Functions in the Polydisk in Connection with Their Boundary Values 109(16) V. S. Guliev Univalent C1 Mappings on the Unit Ball in Cn 125(8) H. Hamada G. Kohr The Growth Theorem of Biholomorphic Mappings on a Banach Space 133(6) T. Honda Stability of Solutions for Singular Integral Equations for Two Classes in Locally Convex Spaces 139(10) C.-G. Hu J.-H. Jia C. Liu The Nevanlinnas First Main Theorem for Holomorphic Hermitian Line Bundles 149(8) C.-G. Hu X.-F. Ye On Distortion Theorem for N-Set Quasiconformal Mappings 157(12) X. Huang 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 169(10) Y. Imayoshi M. Ito H. Yamamoto Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Okas Principle 179(22) J. Kajiwara Y. Fukushima L. Li X. D. Li Envelope of Biregularity and F-Convexity in Clifford Analysis 201(8) J. Kajiwara D.-G. Zhou On a Representative Domain in Matrix Space 209(4) T. Kanemaru A New Approximation of the Navier-Stokes Equations 213(6) H. Kato Generalisation du Produit de Blaschke dans le Bidisque-Unite 219(8) K. Kato P-Spaces 227(6) B. S. Khots On the Arithmetic-Geometric Mean Inequality 233(4) E. G. Kwon K. H. Shon Weakly Sufficient Sequences in the Space of Functions of Polynomial Growth 237(8) H. K. Le Some New Results of Clifford Analysis in Higher Dimensions 245(22) H. S. Le Matrix Criteria for the Extension of Solutions of the General Linear System of Partial Differential Equations with Function Coefficients 267(16) H. S. Le T. V. Nguyen Existence of the Solutions of the Cauchy-Riemann Equations 283(6) J. Lee K. H. Shon Solution of a Class of Periodic Hypersingular Integral Equations 289(4) X. Li On Two Questions in Clifford Analysis and Octonion Analysis 293(8) X.-M. Li An Inequality of Teichmullers Distance 301(8) Z. Li Cyclically Symmetric Circular Crack Problems of Different Media 309(8) J. Lu The Grassmannian Manifold Associated to a Bounded Symmetric Domain 317(8) M. Mackey Holomorphic Mappings and Weak Continuity 325(6) L. A. de Moraes A Characterization of Analytic Functionals on the Sphere I 331(6) M. Morimoto M. Suwa Ideals of Holomorphic Functions on Infinite Dimensional Spaces 337(8) J. Mujica Local Cohomology and Ideal of Partial Differential Operators 345(8) Y. Nakamura On the Large Time Behavior of Solutions of Some Nonlinear Degenerate Parabolic System 353(10) T. Nanbu The Extension Problem for the Maxwell System with Additional Conditions 363(10) T. V. Nguyen Application of Extension Theorem of the Solution of a First Order General Linear System of Partial Differential Equations 373(16) T. V. Nguyen The Extension of Holomorphic Functions on a Nuclear Space 389(6) M. Nishihara Characterization of Clifford Differentiable Functions 395(6) K. Nono Hamiltonian Algorithm for Sound Synthesis 401(8) K. Ohya K. Shinjo Proper Inclusions of Function Spaces and Ryll-Wojtaszczyk Polynomials on the Unit Ball of Cn 409(18) C. Ouyang Boundary Behavior of Nonlocally Convex Vector-Valued Hardy Classes in the Complex Ball 427(16) C. Ouyang Z. Chen Boundary Properties of Axial-Symmetrical Potential and Stokes Flow Function 443(14) S. Plaksa Bessel Function by Parallel Integration of ODEs under Parallel Virtual Machine Environment 457(8) V. M. Raffee Numerical Simulation of Air Core Magnet in 3 Dimensions under PVM Environment 465(8) V. M. Raffee R. Rajput N. Dhoble A. Rawat S. P. Mhaskar Some Results for Modified Kontorovitch-Lebedev Integral Transforms 473(6) J. Rappoport Dynamics of Transcendental Meromorphic Functions 479(16) A. P. Singh Exponential Forms with Exponential Growth 495(8) R. L. Soraggi Grothendieck Duality and Hermite-Jacobi Formula 503(8) S. Tajima Finely Holomorphic Functions in Contour-Solid and Cluster Problems 511(12) P. M. Tamrazov Infinitesimal Parameter Spaces of Locally Trivial Deformations of Compact Complex Surfaces with Ordinary Singularities 523(10) S. Tsuboi Round-off Errors of Residual in Boundary Value Problems by Chebyshev Series 533(16) K. Tsuji Special Reflexive Modules and the First Chern Class 549(34) M. Tsuji Normality and Julia Sets 583(8) Y. Wang Some Results on Extremal Quasiconformal Mappings 591(14) S. Wu α-Normal Functions and Complex Differential Equations 605(12) H. Wulan Entire Functions that Share One Value with One of Their Derivatives 617(8) L.-Z. Yang On Estimate for Some Bilinear Forms 625 M. Yoshida
Joji Kajiwara Kyushu University, Fukuoka, Japan. Zhong Li Peking University, Beijing, P. R. China, Kwang Ho Shon Pusan National University, Pusan, Korea