Finite or Infinite Dimensional Complex Analysis and Applications

I. Plenary Talks and Surveys.- 1 Nevanlinna theory and Diophantine approximations.- 2 In Ramanujan's Shadow.- 3 Holomorphic functions on the Lie ball and related topics.- 4 Invariance of Plurigenera and Torsion-Freeness of Direct Image Sheaves of Pluricanonial Bundles.- 5 Maxwell's equations in Clifford calculus framework - an overview on the development.- 6 Generalized Analytic Functions and their contributions to the development of Mathematical Analysis.- II. Complex Methods in the Plane.- 7 On qp sequences.- 8 Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization.- 9 p-adic Interpolation and Applications.- 10 Refined Order and the Paley Problem in Vector Spaces.- 11 Integral representation of p-adic functions.- 12 Malmquist-Yosida type theorems for algebraic differential equations.- 13 Transformation techniques for partial differential equations.- 14 Besov-type Characterizations for Quaternionic Bloch Functions.- 15 Bergman and Bauer Operators for Elliptic Equations in two Independent Variables.- 16 Some results on QK-type spaces.- III. Analysis in Higher Dimensions.- 17 Representations in Polydomains.- 18 On Bq spaces of hyperholomorphic functions and the Bloch space in R3.- 19 Regeneration in complex, quaternion and Clifford analysis.- 20 A note on sesquilinear forms and the generalized uncertainty relations in *-algebras.- 21 The Hartogs Extension Theorem for the Multi-regular functions Taking Values in a Clifford algebra.- 22 The extension of entire functions of nuclear type on locally convex spaces.- 23 Some Properties of the Inhomogeneous Generalized Cauchy-Riemann Systems in Quaternionic Algebra and its Applications.- 24 The Fundamental Solution of the Hyperbolic Dirac-Equation.- 25 Inhomogeneous ordinarydifferential equations and local cohomologies and residues.- 26 Infinite dimensional CR category.

Dr. Wolfgang Tutschke hatte eine Professur für Mathematik an der Technischen Universität Graz inne.