Finite or Infinite Dimensional Complex Analysis

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.

Modular space for complete intersection curve-singularities; quasinormability of vector valued sequence spaces; holomorphic mappings and cardinality; approximation numbers for polynomials; applications of Laguerre calculus to Dirichlet problem of the Heisenberg Laplacian; the Pisier-Schutt theorem for spaces of polynomials; canonical versus functional extensions of holomorphic functions; on convergence of trigonometric interpolation for periodic analytic functions; on the double series expansion with harmonic components; extension of pluriharmonic functions in locally convex spaces; regeneration in complex, quaternionic and Clifford analysis; Schauder decompositions of weighted spaces of holomorphic functions; spaces of Banach-valued holomorphic functions in the polydisk in connection with their boundary values; univalent C4 mappings on the unit ball in C; the growth theorem of biholomorphic mappings on a Banach space; stability of solutions for singular integral equations for two classes in locally convex spaces; the Nevanlinna's first main theorem for holomorphic Hermitian line bundles; on distortion theorem for N-set quasiconformal mappings; 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; characterisations of holomorphy of domains through validity of theorem A, B or Oka's principle; envelope of biregularity and F-convexity in Clifford analysis; on a representative domain in a matrix space; a new approximation of tree Navier-Stokes equations; generalisation du produit de Blaschke dans le Bidisque Unite; P-spaces. (Part contents).

Joji Kajiwara Kyushu University, Fukuoka, Japan. Zhong Li Peking University, Beijing, P. R. China, Kwang Ho Shon Pusan National University, Pusan, Korea