Ebook: Differential and Integral Operators: International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995

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.

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The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eighth workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The conference covered different aspects of linear and nonlinear spectral problems, starting with problems for abstract operators up to spectral theory of ordinary and partial 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. The applications concerned applications to mathematical physics, hydrodynamics, magnetohydrodynamics, quantum mechanics, astrophysics as well as the theory of networks and systems. The papers in the two volumes of the proceedings of IWOTA 95 bring the readers up to date on recent achievements in these areas. This volume contains the contributions dedicated to the theory of differential and integral operators. Its companion volume (OT 103), entitled Recent Progress in Operator Theory, complements the other aspects of operator theory covered in the workshop. The set will be of practical use to a wide-range readership in pure and applied mathematics, physics and engineering sciences.

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The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eighth workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The conference covered different aspects of linear and nonlinear spectral problems, starting with problems for abstract operators up to spectral theory of ordinary and partial 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. The applications concerned applications to mathematical physics, hydrodynamics, magnetohydrodynamics, quantum mechanics, astrophysics as well as the theory of networks and systems. The papers in the two volumes of the proceedings of IWOTA 95 bring the readers up to date on recent achievements in these areas. This volume contains the contributions dedicated to the theory of differential and integral operators. Its companion volume (OT 103), entitled Recent Progress in Operator Theory, complements the other aspects of operator theory covered in the workshop. The set will be of practical use to a wide-range readership in pure and applied mathematics, physics and engineering sciences.
Content:
Front Matter....Pages I-XV
Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem....Pages 1-10
Banach algebras of functions on nonsmooth domains....Pages 11-20
A nonlinear approach to generalized factorization of matrix functions....Pages 21-37
Completeness of scattering systems with obstacles of finite capacity....Pages 39-50
Examples of positive operators in Krein space with 0 a regular critical point of infinite rank....Pages 51-56
On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems....Pages 57-71
On estimates of the first eigenvalue in some elliptic problems....Pages 73-84
Nonsingularity of critical points of some differential and difference operators....Pages 85-95
A nonlinear spectral problem with periodic coefficients occurring in magnetohydrodynamic stability theory....Pages 97-117
An evolutionary problem of a flow of a nonlinear viscous fluid in a deformable viscoelastic tube....Pages 119-129
Quantum compound Poisson processes and white noise analysis....Pages 131-141
Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators....Pages 143-167
Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant....Pages 169-178
Interpolation of some function spaces and indefinite Sturm-Liouville problems....Pages 179-200
Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves....Pages 201-218
Wiener-Hopf factorization of singular matrix functions....Pages 219-230
Elliptic boundary value problems for general elliptic systems in complete scales of Banach spaces....Pages 231-241
Classic spectral problems....Pages 243-254
Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges....Pages 255-285
On some global aspects of the theory of partial differential equations on manifolds with singularities....Pages 287-305
Green’s formula for elliptic operators with a shift and its applications....Pages 307-314
On second order linear differential equations with inverse square singularities....Pages 315-324
Back Matter....Pages 325-328

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The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eighth workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The conference covered different aspects of linear and nonlinear spectral problems, starting with problems for abstract operators up to spectral theory of ordinary and partial 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. The applications concerned applications to mathematical physics, hydrodynamics, magnetohydrodynamics, quantum mechanics, astrophysics as well as the theory of networks and systems. The papers in the two volumes of the proceedings of IWOTA 95 bring the readers up to date on recent achievements in these areas. This volume contains the contributions dedicated to the theory of differential and integral operators. Its companion volume (OT 103), entitled Recent Progress in Operator Theory, complements the other aspects of operator theory covered in the workshop. The set will be of practical use to a wide-range readership in pure and applied mathematics, physics and engineering sciences.
Content:
Front Matter....Pages I-XV
Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem....Pages 1-10
Banach algebras of functions on nonsmooth domains....Pages 11-20
A nonlinear approach to generalized factorization of matrix functions....Pages 21-37
Completeness of scattering systems with obstacles of finite capacity....Pages 39-50
Examples of positive operators in Krein space with 0 a regular critical point of infinite rank....Pages 51-56
On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems....Pages 57-71
On estimates of the first eigenvalue in some elliptic problems....Pages 73-84
Nonsingularity of critical points of some differential and difference operators....Pages 85-95
A nonlinear spectral problem with periodic coefficients occurring in magnetohydrodynamic stability theory....Pages 97-117
An evolutionary problem of a flow of a nonlinear viscous fluid in a deformable viscoelastic tube....Pages 119-129
Quantum compound Poisson processes and white noise analysis....Pages 131-141
Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators....Pages 143-167
Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant....Pages 169-178
Interpolation of some function spaces and indefinite Sturm-Liouville problems....Pages 179-200
Mellin pseudodifferential operators techniques in the theory of singular integral operators on some Carleson curves....Pages 201-218
Wiener-Hopf factorization of singular matrix functions....Pages 219-230
Elliptic boundary value problems for general elliptic systems in complete scales of Banach spaces....Pages 231-241
Classic spectral problems....Pages 243-254
Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges....Pages 255-285
On some global aspects of the theory of partial differential equations on manifolds with singularities....Pages 287-305
Green’s formula for elliptic operators with a shift and its applications....Pages 307-314
On second order linear differential equations with inverse square singularities....Pages 315-324
Back Matter....Pages 325-328
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