Differential and Integral Operators

This and the next volume of the OT series contain the proceedings of the Work shop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eigth workshop of this kind. Following is a list of the seven previous workshops with reference to their proceedings: 1981 Operator Theory (Santa Monica, California, USA) 1983 Applications of Linear Operator Theory to Systems and Networks (Rehovot, Israel), OT 12 1985 Operator Theory and its Applications (Amsterdam, The Netherlands), OT 19 1987 Operator Theory and Functional Analysis (Mesa, Arizona, USA), OT 35 1989 Matrix and Operator Theory (Rotterdam, The Netherlands), OT 50 1991 Operator Theory and Complex Analysis (Sapporo, Japan), OT 59 1993 Operator Theory and Boundary Eigenvalue Problems (Vienna, Austria), OT 80 IWOTA 95 offered a rich programme on a wide range of latest developments in operator theory and its applications. The programme consisted of 6 invited plenary lectures, 54 invited special topic lectures and more than 100 invited session talks. About 180 participants from 25 countries attended the workshop, more than a third came from Eastern Europe. The conference covered different aspects of linear and nonlinear spectral prob lems, starting with problems for abstract operators up to spectral theory of ordi nary and partial differential operators, pseudodifferential operators, and integral operators. The workshop was also focussed on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems.

Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem.- Banach algebras of functions on nonsmooth domains.- A nonlinear approach to generalized factorization of matrix functions.- Completeness of scattering systems with obstacles of finite capacity.- Examples of positive operators in a Krein space with 0 a regular critical point of infinite rank.- On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems.- On estimates of the first eigenvalue in some elliptic problems.- Nonsingularity of critical points of some differential and difference operators.- A nonlinear spectral problem with periodic coefficients occurring in magnetohydrodynamics.- An evolutionary problem of a flow of a nonlinear viscous fluid in a deformable visoelastic tube.- Quantum compound Poisson processes and white noise analysis.- Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators.- Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant.- Interpolation of some function spaces and indefinite Sturm-Liouville problems.- Mellin pseudodifferential operator techniques in the theory of singular integral operators on some Carleson curves.- Wiener-Hopf factorization of singular matrix functions.- Elliptic boundary value problems for general elliptic systems in complete scales of Banach spaces.- Classic spectral problems.- Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges.- On some global aspects of the theory of partial differential equations on manifolds with singularities.- Green's formula for elliptic operators with a shift and its applications.- On second order linear differential equations withinverse square singularities.