Singular Integral Operators and Related Topics

Joint German-Israeli Workshop, Tel Aviv, March 1–10, 1995

AvA. Böttcher,I. Gohberg

Häftad, Engelska, 2011

Del 90 i serien Operator Theory: Advances and Applications

557 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

This volume presents the proceedings of the Joint German-Israeli Workshop on linear one-dimensional singular integral equations, held in Tel Aviv from March 1–10, 1995. The volume contains a selection of papers in modern operator theory and its applications. The main topics of the workshop were symbol calculus, index formulas, projection and quadrature methods for Toeplitz and singular integral operators with different symbols, algebras generated by such operators and algebras generated by indempotents. The other topics discussed were inverse scattering problems for differential operators, distribution of zeros for orthogonal functions, factorization of matrix functions and calculation of norms. The book will be appreciated by a wide audience in the mathematical and engineering sciences.

Produktinformation

Utgivningsdatum:2011-09-26
Mått:170 x 244 x 18 mm
Vikt:568 g
Format:Häftad
Språk:Engelska
Serie:Operator Theory: Advances and Applications
Antal sidor:316
Förlag:Springer Basel
ISBN:9783034898812

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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. Marchenko’s equation in the rational case.- 5. Formula for the potential.- 6. Equivalence with Krein’s 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-valuedPQC-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.

Du kanske också är intresserad av

Del 75

Analysis of Toeplitz Operators

A. Böttcher, B. Silbermann

Inbunden, 1989

2 276 kr

Encyclopaedia of Mathematics

M. Ablowitz, H. Attouch, T. Aubin, W. Auzinger, D. Azé, G. Bachman, E. Bach, N. Balakrishnan, A. Banyaga, A. Baragar, V. Barbu, L. Accardi, . E. Barndorff-Nielsen, L. M. Barreira, Ph. Barry, N. L. Bassily, K. J. Bathe, L. M. Batten, W. Beckner, A. Bejancu, D. Benson, W. Benz, P. N. Agrawal, E. E. M. van Berkum, A. J. Berrick, F. Beukers, A. Bialostocki, H. Bieri, K. Binder, N. H. Bingham, Ch. Birkenhake, P. Blæsild, T. S. Blyth, R. Aharoni, I. M. Bomze, C. Bonotto, C. De Boor, P. Borwein, A. Böttcher, F. Bouchut, N. Bouleau, . J. Boxma, F. Brackx, P. Brandi, F. Altomare, A. Brandstädt, M. Braverman, E. Briem, R. W. Bruggeman, N. G. De Bruijn, B. Buchberger, F. Buekenhout, P. Bullen, A. Bundy, G. Buskes, S. S. Antman, M. Campanino, L. M. B. C. Campos, C. Cannings, J. Carlson, J. M. F. Castillo, C. Y. Chan, G. Chaudhuri, Qingming Cheng, A. Childs, K. Ciesielski, P. L. Antonelli, C. J. S. Clarke, A. M. Cohen, M. Coornaert, C. Corduneanu, G. Crombez, M. Cwikel, A. Davydov, A. S. Deif, W. J. M. Dekkers, F. M. Dekking, F. Argoul, M. Denker, J. Désarménien, H. Diamond, Y. Diers, K. Doets, H. Doss, R. M. Dudley, R. Duduchava, R. Eddy, J. H. J. Einmahl, A. Arneodo, E. F. Eisele, P. C. Eklof, U. Elias, R. L. Ellis, H. Endo, T. Erdélyi, F. H. L. Essler, B. Fine, P. C. Fishburn, R. W. Fitzgerald, Michiel Hazewinkel

Inbunden, 1997

2 201 kr

Extension and Interpolation of Linear Operators and Matrix Functions

I. Gohberg

E-bok

2013

700 kr

Einführung in die Theorie der eindimensionalen singulären Integraloperatoren

Krupnik, I. Gohberg

E-bok

2013

535 kr

Del 64

New Aspects in Interpolation and Completion Theories

I. Gohberg

Häftad, 2012

549 kr

Topics in Operator Theory and Interpolation

I. Gohberg

Häftad, 1988

557 kr

Toeplitz Operators and Related Topics

I. Gohberg, Estelle L. Basor

E-bok

2012

718 kr

Del 122

Operator Theory and Analysis

H. Bart, I. Gohberg, A.C.M. Ran

Häftad, 2012

1 656 kr

Del 33

Topics in Interpolation Theory of Rational Matrix-valued Functions

I. Gohberg

Häftad, 2014

557 kr

Del 54

One-Dimensional Linear Singular Integral Equations

I. Gohberg, N. Krupnik

Häftad, 2012

941 kr

Singular Integral Operators and Related Topics

Joint German-Israeli Workshop, Tel Aviv, March 1–10, 1995

AvA. Böttcher,I. Gohberg

Häftad, Engelska, 2011

Del 90 i serien Operator Theory: Advances and Applications

557 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2011-09-26
Mått:170 x 244 x 18 mm
Vikt:568 g
Format:Häftad
Språk:Engelska
Serie:Operator Theory: Advances and Applications
Antal sidor:316
Förlag:Springer Basel
ISBN:9783034898812

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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. Marchenko’s equation in the rational case.- 5. Formula for the potential.- 6. Equivalence with Krein’s 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-valuedPQC-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.