Ebook: Singular Integral Operators and Related Topics: Joint German-Israeli Workshop, Tel Aviv, March 1–10, 1995
- Tags: Mathematics general
- Series: Operator Theory Advances and Applications 90
- Year: 1996
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages I-VIII
Inverse Scattering Problem for Differential Operators with Rational Scattering Matrix Functions....Pages 1-18
Banach Algebras Generated by N Idempotents and Applications....Pages 19-54
Toeplitz Operators with Discontinuous Symbols: Phenomena Beyond Piecewise Continuity....Pages 55-118
Toeplitz and Singular Integral Operators on General Carleson Jordan Curves....Pages 119-152
Weighted Uniform Convergence of the Quadrature Method for Cauchy Singular Integral Equations....Pages 153-181
Symbol calculus for singular integrals with operator-valued PQC-coefficients....Pages 182-203
Finite Section Method for singular integrals with operator-valued PQC-coefficients....Pages 204-243
Distribution of Zeros of Orthogonal Functions Related to the Nehari Problem....Pages 244-263
Semi-Fredholm Properties of Certain Singular Integral Operators....Pages 264-287
On Canonical Factorization of Dissipative and Positive Matrix Functions Relative to Non-Simple Contours....Pages 288-294
Asymptotic Invertibility of Toeplitz Operators....Pages 295-303
Calculation of the Norm of Polynomials of Two Adjoint Projections....Pages 304-313
Back Matter....Pages 314-316
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.
Content:
Front Matter....Pages I-VIII
Inverse Scattering Problem for Differential Operators with Rational Scattering Matrix Functions....Pages 1-18
Banach Algebras Generated by N Idempotents and Applications....Pages 19-54
Toeplitz Operators with Discontinuous Symbols: Phenomena Beyond Piecewise Continuity....Pages 55-118
Toeplitz and Singular Integral Operators on General Carleson Jordan Curves....Pages 119-152
Weighted Uniform Convergence of the Quadrature Method for Cauchy Singular Integral Equations....Pages 153-181
Symbol calculus for singular integrals with operator-valued PQC-coefficients....Pages 182-203
Finite Section Method for singular integrals with operator-valued PQC-coefficients....Pages 204-243
Distribution of Zeros of Orthogonal Functions Related to the Nehari Problem....Pages 244-263
Semi-Fredholm Properties of Certain Singular Integral Operators....Pages 264-287
On Canonical Factorization of Dissipative and Positive Matrix Functions Relative to Non-Simple Contours....Pages 288-294
Asymptotic Invertibility of Toeplitz Operators....Pages 295-303
Calculation of the Norm of Polynomials of Two Adjoint Projections....Pages 304-313
Back Matter....Pages 314-316
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