Ebook: Operator Methods in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland

The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schrödinger equation. Other contributions deal with equations from mathematical physics and study their properties using methods of spectral analysis. The volume explores several new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.

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The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schr?dinger equation. Other contributions deal with equations from mathematical physics and study their properties using methods of spectral analysis. The volume explores several new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.

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The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schr?dinger equation. Other contributions deal with equations from mathematical physics and study their properties using methods of spectral analysis. The volume explores several new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.
Content:
Front Matter....Pages i-ix
Inverse Scattering for Non-classical Impedance Schr?dinger Operators....Pages 1-42
Finite and Infinite Gap Jacobi Matrices....Pages 43-55
Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction....Pages 57-88
Eigenfunction Expansions Associated with the One-dimensional Schr?dinger Operator....Pages 89-105
Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus like Domain with Neumann Condition....Pages 107-115
Jacobi and CMV Matrices with Coefficients of Generalized Bounded Variation....Pages 117-121
Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces....Pages 123-142
Local Approximation of Observables and Commutator Bounds....Pages 143-149
The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1)....Pages 151-164
Asymptotics of Eigenvalues of an Energy Operator in a Problem of Quantum Physics....Pages 165-177

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The conference Operator Theory, Analysis and Mathematical Physics – OTAMP is a regular biennial event devoted to mathematical problems on the border between analysis and mathematical physics. The current volume presents articles written by participants, mostly invited speakers, and is devoted to problems at the forefront of modern mathematical physics such as spectral properties of CMV matrices and inverse problems for the non-classical Schr?dinger equation. Other contributions deal with equations from mathematical physics and study their properties using methods of spectral analysis. The volume explores several new directions of research and may serve as a source of new ideas and problems for all scientists interested in modern mathematical physics.
Content:
Front Matter....Pages i-ix
Inverse Scattering for Non-classical Impedance Schr?dinger Operators....Pages 1-42
Finite and Infinite Gap Jacobi Matrices....Pages 43-55
Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction....Pages 57-88
Eigenfunction Expansions Associated with the One-dimensional Schr?dinger Operator....Pages 89-105
Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus like Domain with Neumann Condition....Pages 107-115
Jacobi and CMV Matrices with Coefficients of Generalized Bounded Variation....Pages 117-121
Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces....Pages 123-142
Local Approximation of Observables and Commutator Bounds....Pages 143-149
The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1)....Pages 151-164
Asymptotics of Eigenvalues of an Energy Operator in a Problem of Quantum Physics....Pages 165-177
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