Operator methods in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2010, Bedlewo, Poland / / Jan Janas ... [et al.], editors

• Record Nr.: UNINA9910438141203321
• Pubbl/distr/stampa: Basel ; ; New York, : Springer, 2013
• ISBN: 3-0348-0531-4; 1-299-19744-2
• Edizione: [1st ed. 2013.]
• Descrizione fisica: 1 online resource (182 p.)
• Collana: Operator theory, advances and applications ; ; v. 227
• Altri autori (Persone): JanasJan
• Disciplina: 530.155724
• Soggetti: Spectral theory (Mathematics); Operator theory; Mathematical physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di contenuto: ""3. Inverse scattering for Miura potentials""""3.1. Jost solutions""; ""3.2. The scattering data""; ""3.3. Reconstruction of the transmission coefficient""; ""3.4. The inverse problem""; ""3.5. Sobolev properties of the scattering mappings""; ""4. The case of discontinuous impedance function""; ""4.1. The operators""; ""4.2. Jost solutions and the scattering data""; ""4.3. Transformation operators""; ""4.4. Derivation of the Marchenko equation""; ""4.5. Derivation of the Zakharovâ€?Shabat system""; ""4.6. Solution of the Zakharovâ€?Shabat system""; ""4.7. The inverse scattering problem""; ""4.8. Some generalizations""""Appendix""; ""Acknowledgement""; ""References""; ""Finite and Infinite Gap Jacobi Matrices""; ""1. Introduction""; ""2. Perturbations of the free Jacobi matrix""; ""3. Finite gap Jacobi matrices""; ""4. Infinite gap Jacobi matrices""; ""References""; ""Derivation of Ginzburg-Landau Theory for a One-dimensional System with Contact Interaction""; ""1. Introduction and main results""; ""1.1. Introduction""; ""1.2. The BCS functional""; ""1.2.1. The translation-invariant case""; ""1.3. The GL functional""; ""1.4. Main results""; ""3. Diagonalising the spectral density matrix""""4. The case of simple spectrum""; ""Acknowledgement""; ""References""; ""Spectral Minimal Partitions for a Thin Strip on a Cylinder or a Thin Annulus like Domain ; with Neumann Condition""; ""1. Introduction""; ""2. Neumann problem for a strip on the cylinder""; ""3. Extension to minimal k-partitions of C(b)""; ""4. Generalization to other thin domains""; ""Acknowledgement""; ""References""; ""Jacobi and CMV Matrices with Coefficients of Generalized Bounded Variation""; ""Acknowledgement""; ""References""; ""Order Convergence Ergodic Theorems in Rearrangement Invariant Spaces""
• Sommario/riassunto: 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.