Finite or Infinite Dimensional Complex Analysis

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

• 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).