Preface ..................................................................... iii Contributors ................................................................. xi 1. Modular Space for Complete Intersection Curve-Singularities ............... 1 A.G.Aleksandrov 2. Quasinormability of Vector Valued Sequence Spaces ........................ 21 F.Blasco 3. Holomorphic Mappings and Cardinality ..................................... 29 C.Boyd 4. Approximation Numbers for Polynomials .................................... 35 H.-A.Braunss, H.Junek, and E.Plewnia 5. Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg Laplacian ..................................................... 47 D.-C.Chang and J.Tie 6. The Pisier-Schutt Theorem for Spaces of Polynomials ...................... 55 A.Defant, J.C.Diaz, D.Garcia, and M.Maestre 7. Canonical v. Functional Extensions of Holomorphic Functions .............. 63 S.Dineen 8. On Convergence of Trigonometric Interpolation for Periodic Analytic Functions ................................................................ 69 J.Du and H.Liu 9. On the Double Series Expansion with Harmonic Components .................. 77 K.Fujita 10. Extension of Pluriharmonic Functions in Locally Convex Spaces ............ 87 Y.Fukushima 11. Regeneration in Complex, Quaternionic, and Clifford Analysis ............. 95 Y.Fukushima 12. Schauder Decompositions of Weighted Spaces of Holomorphic Functions ..... 103 D.Garcia, M.Maestre, and P.Rueda 13. Spaces of Banach-Valued Holomorphic Functions in the Polydisk in Connection with Their Boundary Values ................................... 109 V.S.Guliev 14. Univalent C1 Mappings on the Unit Ball in Cn ............................ 125 H.Hamada and G.Kohr 15. The Growth Theorem of Biholomorphic Mappings on a Banach Space .......... 133 T.Honda 16. Stability of Solutions for Singular Integral Equations for Two Classes in Locally Convex Spaces ................................................ 139 C.-G.Hu, J.-H.Jia, and C.Liu 17. The Nevanlinna's First Main Theorem for Holomorphic Hermitian Line Bundles ................................................................. 149 C.-G.Hu and X.-F.Ye 18. On Distortion Theorem for N-Set Quasiconformal Mappings ................. 157 X.Huang 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 ................................................... 169 Y.Imayoshi, M.Ito, and H.Yamamoto 20. Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle ......................................... 179 J.Kajiwara, Y.Fukushima, L.Li, and X.D.Li 21. Envelope of Biregularity and F-Convexity in Clifford Analysis ........... 201 J.Kajiwara and D.-G.Zhou 22. On a Representative Domain in Matrix Space .............................. 209 T.Kanemaru 23. A New Approximation of the Navier-Stokes Equations ...................... 213 H.Kato 24. Generalisation du Produit de Blaschke dans le Bidisque-Unite ............ 219 K.Kato 25. P-Spaces ................................................................ 227 B.S.Khots 26. On the Arithmetic-Geometric Mean Inequality ............................. 233 E.G.Kwon and K.H.Shon 27. Weakly Sufficient Sequences in the Space of Functions of Polynomial Growth .................................................................. 237 H.K.Le 28. Some New Results of Clifford Analysis in Higher Dimensions .............. 245 H.S.Le 29. Matrix Criteria for the Extension of Solutions of the General Linear System of Partial Differential Equations with Function Coefficients ..... 267 H.S.Le and T.V.Nguyen 30. Existence of the Solutions of the Cauchy-Riemann Equations .............. 283 J.Lee and K.H.Shon 31. Solution of a Class of Periodic Hypersingular Integral Equations ........ 289 X.Li 32. On Two Questions in Clifford Analysis and Octonion Analysis ............. 293 X.-M.Li 33. An Inequality of Teichmuller's Distance ................................. 301 Z.Li 34. Cyclically Symmetric Circular Crack Problems of Different Media ......... 309 J.Lu 35. The Grassmannian Manifold Associated to a Bounded Symmetric Domain ...... 317 M.Mackey 36. Holomorphic Mappings and Weak Continuity ................................ 325 L.A.de Moraes 37. A Characterization of Analytic Functionals on the Sphere I .............. 331 M.Morimoto and M.Suwa 38. Ideals of Holomorphic Functions on Infinite Dimensional Spaces .......... 337 J.Mujica 39. Local Cohomology and Ideal of Partial Differential Operators ............ 345 Y.Nakamura 40. On the Large Time Behavior of Solutions of Some Nonlinear Degenerate Parabolic System ........................................................ 353 T.Nanbu 41. The Extension Problem for the Maxwell System with Additional Conditions .............................................................. 363 T.V.Nguyen 42. Application of Extension Theorem of the Solution of a First Order General Linear System of Partial Differential Equations ................. 373 T.V.Nguyen 43. The Extension of Holomorphic Functions on a Nuclear Space ............... 389 M.Nishihara 44. Characterization of Clifford Differentiable Functions ................... 395 K.Nono 45. Hamiltonian Algorithm for Sound Synthesis ............................... 401 K.Ohya and K.Shinjo 46. Proper Inclusions of Function Spaces and Ryll-Wojtaszczyk Polynomials on the Unit Ball of Cn .................................................. 409 C.Ouyang 47. Boundary Behavior of Nonlocally Convex Vector-Valued Hardy Classes in the Complex Ball ........................................................ 427 C.Ouyang and Z.Chen 48. Boundary Properties of Axial-Symmetrical Potential and Stokes Flow Function ................................................................ 443 S.Plaksa 49. Bessel Function by Parallel Integration of ODEs under Parallel Virtual Machine Environment ..................................................... 457 V.M.Raffee 50. Numerical Simulation of Air Core Magnet in 3 Dimensions under PVM Environment ............................................................. 465 V.M.Raffee, R.Rajput, N.Dhoble, A.Rawat, and S.P.Mhaskar 51. Some Results for Modified Kontorovitch-Lebedev Integral Transforms ...... 473 J.Rappoport 52. Dynamics of Transcendental Meromorphic Functions ........................ 479 A.P.Singh 53. Exponential Forms with Exponential Growth ............................... 495 R.L.Soraggi 54. Grothendieck Duality and Hermite-Jacobi Formula ......................... 503 S.Tajima 55. Finely Holomorphic Functions in Contour-Solid and Cluster Problems ...... 511 P.M.Tamrazov 56. Infinitesimal Parameter Spaces of Locally Trivial Deformations of Compact Complex Surfaces with Ordinary Singularities .................... 523 S.Tsuboi 57. Round-off Errors of Residual in Boundary Value Problems by Chebyshev Series ........................................................ 533 K.Tsuji 58. Special Reflexive Modules and the First Chern Class ..................... 549 M.Tsuji 59. Normality and Julia Sets ................................................ 583 Y.Wang 60. Some Results on Extremal Quasiconformal Mappings ........................ 591 S.Wu 61. α-Normal Functions and Complex Differential Equations ................... 605 H.Wulan 62. Entire Functions that Share One Value with One of Their Derivatives ..... 617 L.-Z.Yang 63. On Estimate for Some Bilinear Forms ..................................... 625 M.Yoshida