General methods for constructing bispectral operators

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 222, Issue 1-2, 1996, Pages 59-66

  Bakalov, B ^a   Horozov, E ^a   Yakimov, M ^a  

^a UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

GENERAL METHOD; NEW SOLUTIONS;

ALGEBRA;

EID: 0043189930     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00624-X     Document Type: Article

References (21)

1. J.J. Duistermaat and F.A. Grünbaum, Commun. Math. Phys. 103 (1986) 177.
2. B. Bakalov, E. Horozov and M. Yakimov, Bispectral algebras of commuting ordinary differential operators, Sofia preprint q-alg/9602011 (1996).
3. J. Zubelli, Physica D 43 (1990) 269.
4. F. Magri and J. Zubelli, Commun. Math. Phys. 141 (1991) 329.
5. G. Wilson, J. Reine Angew. Math. 442 (1993) 177.
6. F.A. Grünbaum, Comm. Pure Appl. Math. 47 (1994) 307.
7. J.L. Burchnall and T.W. Chaundy, Proc. Lond. Math. Soc. 21 (1923) 420; Proc. R. Soc. A 118 (1928) 557; 134 (1932) 471.
8. J.L. Burchnall and T.W. Chaundy, Proc. Lond. Math. Soc. 21 (1923) 420; Proc. R. Soc. A 118 (1928) 557; 134 (1932) 471.
9. J.L. Burchnall and T.W. Chaundy, Proc. Lond. Math. Soc. 21 (1923) 420; Proc. R. Soc. A 118 (1928) 557; 134 (1932) 471.
10. A. Kasman and M. Rothstein, Bispectral Darboux transformations: The generalized Airy case, Univ. of Georgia preprint (1996), to appear in Physica D.
11. B. Bakalov, E. Horozov and M. Yakimov, Bäcklund-Darboux transformations in Sato's Grassmannian, to appear in Serdica Math. J., q-alg/9602010.
12. J. Dixmier, Bull. Soc. Math. France 96 (1968) 209.
13. E. Brézin and V. Kazakov, Phys. Lett. B 236 (1990) 144.
14. M. Douglas and S. Shenker, Nucl. Phys. B 335 (1990) 635.
15. D.J. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127.
16. E. Witten, Surv. Diff. Geom. 1 (1991) 243.
17. M. Kontsevich, Commun. Math. Phys. 147 (1992) 1.
18. M. Adler and P. van Moerbeke, Commun. Math. Phys. 147 (1992) 25.
19. M. Fukuma, H. Kawai and R. Nakayama, Commun. Math. Phys. 143 (1992) 371.
20. G. Gasper and M. Rahman, Basic hypergeometric series. Encyclopedia of mathematics and its applications 35 (Cambridge Univ. Press, Cambridge, 1990).
21. H. Bateman and A. Erdélyi, Higher transcendental functions (McGraw-Hill, New York, 1953).