Title | Operator Theory and Boundary Eigenvalue Problems [electronic resource] : International Workshop in Vienna, July 27-30, 1993 / edited by I. Gohberg, H. Langer |
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Imprint | Basel : Birkhรคuser Basel, 1995 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9106-6 |
Descript | X, 316 p. online resource |
Coisometrically valued rational matrix functions -- 1. Introduction -- 2. Functions with coisometric values on the line -- 3. Functions with coisometric values on the circle -- 4. Inner functions -- References -- On some aspects of V.E. Katsnelsonโs investigations on interrelations between left and right Blaschke-Potapov products -- 1. Some notation and preliminaries -- 2. On J-inner functions and their factorizations -- 3. On jpq-inner functions and generalized bitangential Schur-Nevanlinna-Pick interpolation -- 4. On V.E. Katsnelsonโs refinement of the factorization theory of J-inner functions -- 5. An inverse problem for A-singular jpq-inner functions -- References -- On some development of the S. Krein pencil theory -- References -- Discrete nonstationary bounded real lemma in indefinite metrics, the strict contractive case -- 1. Introduction -- 2. Preliminaries -- 3. Strict (J, J1) contractions: necessary conditions for a special case -- 4. Strict (J, J1) contractions: necessary conditions in the general case -- 5. The main results -- References -- Regularity of finite type critical points for self-adjoint operators in Krein space -- 1. Introduction and notation -- 2. Preliminary results -- 3. Regularity tests -- 4. ECR chains -- 5. General Krein spaces -- References -- Quasi-uniformly positive operators in Krein space -- 1. Quasi-uniformly positive operators -- 2. Quasi-uniformly positive forms -- 3. Klein-Gordon equation -- References -- Functional-differential and functional equations with rescaling -- 1. Introduction -- 2. Asymptotic behavior of the solutions -- 3. Compactly supported solutions. Wavelets and subdivision processes -- 4. Spectral methods in the theory of functional-differential equations, applications to quasi-crystals and localization theory -- 5. Probabilistic methods in functional-differential equations theory -- 6. Invariant measures and chaos -- On the signatures of selfadjoint pencils -- 1. Introduction -- 2. The signatures of selfadjoint operators in Krein spaces -- 3. The Krein space environment -- 4. The Pontryagin space case -- 5. Applications to selfadjoint pencils -- References -- On the spectral theory of an elliptic boundary value problem involving an indefinite weight -- 1. Introduction -- 2. Preliminaries -- 3. Main results -- 4. Some technical results -- 5. Proof of theorem 3.4 -- References -- Nonlinearity in H?-control theory, causality in the commutant lifting theorem, and extension of intertwining operators -- 0. Introduction -- 1. Systems -- 3. The linear optimization problem and the commutant lifting theorem -- 4. The nonlinear optimization problem and the iterative commutant lifting procedure -- 5. The causal LOP and the causal CLT -- 6. CLOP and CLT -- 7. Conclusion -- References -- Analysis of the radiation loss: asymptotics beyond all orders -- 1. Introduction -- 2. Asymptotic formulas -- 3. Radiation loss problems -- References -- Selfadjoint extensions of a closed linear relation of defect one in a Krein space -- 1. Selfadjoint closed linear relations with a finite number of negative squares.. -- 2. Nonnegative closed linear relations of defect one -- 3. Nonnegative closed linear relations of regular defect one -- 4. Nonnegative closed linear relations with a nonreal eigenvalue -- 5. The nonreal spectrum of the selfadjoint extensions -- 6. Selfadjoint extensions with an empty resolvent set -- 7. The resolvents of the selfadjoint extensions -- 8. The nonnegative selfadjoint extensions -- References -- Differential geometry of generalized Grassmann manifolds in C*-algebras -- 1. Environments and their Grassmannians -- 2. Topological properties -- 3. The standard lift -- 4. Differentiate structures -- 5. Invariant linear connections -- 6. Geodesics -- References -- Nonlinear equations and inverse spectral problems on the axis -- 1. On the Weyl-Titchmarsh matrix-function -- 2. Spectral data evolution -- 3. Investigation of the NSE and the MKdVE -- References -- Rayleigh problem and Friedrichs model -- 1. Introduction -- 2. Operator-theoretic formulation of the problem (2)-(3): generalized eigenfunctions -- 3. Spectral analysis of the problem (2)-(3): Friedrichsโ model approach and expansion theorem -- 4. Scattering problem for Friedrichsโ model related to the Rayleigh equation -- 5. Solvability class for inverse scattering problem. Local existence and uniqueness theorem -- References -- Yet another face of the creation operator -- References -- On transformations of canonical systems -- 0. Introduction -- 1. Some transformation rules -- 2. Changes of the spectral density by rational factors -- References -- Complementary triangular forms for infinite matrices -- 1. Introduction -- 2. Lower-upper factorization -- 3. Hilbert space analogues -- References -- List of participants -- List of lectures