An Analog of the Trace Formula for Discrete Sturm--Liouville Operators with Asymptotically $N$-Periodic Coefficients
Funkcionalʹnyj analiz i ego priloženiâ, Tome 31 (1997) no. 4, pp. 72-75.

Voir la notice de l'article provenant de la source Math-Net.Ru

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B. P. Osilenker. An Analog of the Trace Formula for Discrete Sturm--Liouville Operators with Asymptotically $N$-Periodic Coefficients. Funkcionalʹnyj analiz i ego priloženiâ, Tome 31 (1997) no. 4, pp. 72-75. http://geodesic.mathdoc.fr/item/FAA_1997_31_4_a8/

[1] Berezanskii Yu. M., Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, Naukova Dumka, Kiev, 1965 | MR

[2] Nikishin E. M., Sorokin V. M., Ratsionalnye approksimatsii i ortogonalnost, Nauka, M., 1988 | MR | Zbl

[3] Lubinsky D., “Jump distributions on [-1,1] whose orthogonal polynomials have leading coefficients with given asymptotic behavior”, Proc. Amer. Math. Soc., 104 (1988), 516–524 | DOI | MR | Zbl

[4] Van Assche W., Magnus A., Proc. Amer. Math. Soc., 106 (1989), 163–175 | DOI | MR

[5] Lubinsky D., Proc. Amer. Math. Soc., 111 (1991), 413–420 | DOI | MR

[6] Rakhmanov E. A., “Ob asimptotike otnosheniya ortogonalnykh mnogochlenov”, Matem. sb., 103 (1977), 237–252 | Zbl

[7] Dombrowski J., Nevai P., “Orthogonal polynomials, measures and recurrence relations”, SIAM J. Math. Anal., 17 (1986), 752–759 | DOI | MR | Zbl

[8] Nevai P., “Orthogonal polynomials, recurrences, Jacobi matrices and measures”, Progress in Approx. Theory, Springer-Verlag, New York–Berlin, 1992, 79–104 | DOI | MR | Zbl

[9] Geronimo J., Van Assche W., “Orthogonal polynomials with asymptotically periodic recurrent coefficients”, J. Approx. Theory, 46 (1986), 251–283 | DOI | MR | Zbl

[10] Al-Salam W., Allaway W., Askey R., “Sieved ultraspherical polynomials”, Trans. Amer. Math. Soc., 284 (1984), 39–55 | DOI | MR | Zbl

[11] Ismail M. E. H., SIAM J. Math. Anal., 16 (1985), 1093–1113 | DOI | MR | Zbl

[12] Charris J., Ismail M. E. H., “On sieved orthogonal polynomials. V: Sieved Pollaczek polynomials”, SIAM J. Math. Anal., 18 (1987), 1177–1218 | DOI | MR | Zbl

[13] Geronimo J., Van Assche W., “Approximating the weight function for orthogonal polynomials on several intervals”, J. Approx. Theory, 65 (1991), 341–371 | DOI | MR | Zbl

[14] Brzhechka V. F., Zapiski NII matem. i mekh. KhGU i KhMO, 17, 1940, 75–98

[15] Barkov G. I., Izvestiya VUZov, Matem., 1960, no. 4, 3–16 | MR | Zbl