Published March 1988
| Version v1
Journal article
Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. I
Creators
Description
The properties of variations of the scattering data for a smooth rapidly decreasing potential of the Sturm-Liouville problem are considered in the generic situation. The orthogonality and completeness relations for bilinear combinations of the Jost solutions of this problem are formulated more precisely, and the properties of the recursion operator and its resolvent are studied thoroughly
Additional details
Publishing Information
- Journal Title
- Theoretical and Mathematical Physics (English Translation)
- Journal Volume
- 72
- Journal Issue
- 3
- Series
- Theor. Math. Phys. (Engl. Transl.).
- Journal Page Range
- 909-920
- ISSN
- 0040-5779
- CODEN
- TMPHA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20047767
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- CONVERGENCE; EIGENFUNCTIONS; INVERSE SCATTERING PROBLEM; JOST FUNCTION; MATHEMATICAL OPERATORS; NONLINEAR PROBLEMS; ORTHOGONAL TRANSFORMATIONS; POISSON EQUATION; POTENTIALS; RECURSION RELATIONS; SCATTERING; SERIES EXPANSION; SPECTRA; STURM-LIOUVILLE EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; TRANSFORMATIONS
Optional Information
- Notes
- Translated from Teoreticheskaya Matematicheskaya Fizika; 72: No. 3, 323-339(Sep 1987). Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).