Title | Singular Integral Operators and Related Topics [electronic resource] : Joint German-Israeli Workshop, Tel Aviv, March 1-10, 1995 / edited by A. Bรถttcher, I. Gohberg |
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Imprint | Basel : Birkhรคuser Basel, 1996 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9040-3 |
Descript | VIII, 316 p. online resource |
Inverse scattering problem for differential operators with rational scattering matrix functions -- 1. Introduction -- 2. Rational matrix valued functions -- 3. Minimal realizations of rational scattering functions -- 4. Marchenkoโs equation in the rational case -- 5. Formula for the potential -- 6. Equivalence with Kreinโs approach -- 7. A result on asymptotic expansions -- 8. Reconstructing the potential -- References -- Banach algebras generated by N idempotents and applications -- Preface and acknowledgement -- 1. Introduction -- 2. Algebras generated by two idempotents -- 3. Algebras generated by three idempotents -- 4. An N projections theorem -- 5. Examples -- 6. Miscellanea -- References -- Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity -- 1. Introduction -- 2. Preliminaries -- 3. Periodic and u-periodic symbols -- 4. Orientation preserving whirls -- 5. Concrete orientation preserving whirls -- 6. Orientation changing whirls -- 7. Undecided symbols with bounded arguments -- 8. Modulated almost periodic symbols -- References -- Toeplitz and singular integral operators on general Carleson Jordan curves -- 1. Introduction -- 2. The first three metamorphoses -- 3. Main result -- 4. Examples -- 5. Plan of the proof of the main theorem -- 6. Submultiplicative functions -- 7. Description of the set Nt -- 8. Description of the set ?t -- 9. Spectra and essential spectra of Toeplitz operators -- 10.The algebra of singular integral operators -- References -- Weighted uniform convergence of the quadrature method for Cauchy singular integral equations -- 1. Introduction -- 2. Notations and preliminary results -- 3. The quadrature method -- 4. Special interpolation processes -- 5. Numerical examples -- References -- Symbol calculus for singular integrals with operator-valued PQC-coefficients -- 1. Introduction -- 2. Operator-valued quasicontinuous functions -- 3. Symbol calculus -- References -- Finite section method for singular integrals with operator-valued PQC-coefficients -- 1. Introduction -- 2. Preliminaries -- 3. A generalization of compactness and of strong convergence -- 4. Algebraization of stability and lifting theorem -- 5. The algebras S(PQCL(H)) and F(PQCL(H)) -- 6. Localization -- 7. Identification of local algebras -- 8. The algebras ? and ? -- 9. Identification of local algebras continued -- 10.Final result -- References -- Distribution of zeros of orthogonal functions related to the Nehari problem -- 1. Introduction -- 2. Auxilliary theorems -- 3. Proof of the main theorem -- References -- Semi-Fredholm properties of certain singular integral operators -- 1. Introduction -- 2. Operators with almost periodic symbols -- 3. Operators with semi almost periodic symbols -- References -- On canonical factorization of dissipative and positive matrix functions relative to non-simple contours -- References -- Asymptotic invertibility of Toeplitz operators -- 1. Introduction -- 2. Operators -- 3. Finite sections and algebras -- 4. Symbols -- 5. Pseudospectra -- 6. Asymptotic Moore-Penrose invertibility -- References -- Calculation of the norm of polynomials of two adjoint projections -- 0. Introduction -- 1. Some necessary results -- 2. The main results -- 3. Additional remarks and examples -- References -- Toeplitz Lectures 1995 -- Lectures of the Joint German-Israeli Workshop