Differential and Integral Operators

International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995

Inbunden, Engelska, 1998

Av Israel C. Gohberg, Reinhard Mennicken, Christiane Tretter

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This work is the first in a two-volume complementary set taken from the proceedings of a conference held in Regensburg in 1995 on the subject of operatory theory and its applications. It 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 focused 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. This volume contains the contributions dedicated to the theory of differential and integral operators.

Produktinformation

Utgivningsdatum1998-02-18
Mått170 x 244 x 25 mm
Vikt782 g
FormatInbunden
SpråkEngelska
SerieOperator Theory: Advances and Applications
Antal sidor328
Upplaga1998
FörlagBirkhauser Verlag AG
ISBN9783764358907

Tillhör följande kategorier

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.