메뉴 건너뛰기




Volumn 13, Issue 3, 1997, Pages 421-433

Spectral measures and Jacobi matrices related to Laguerre-type systems of orthogonal polynomials

Author keywords

Absolute continuity; Jacobi matrices; Orthogonal polynomials

Indexed keywords


EID: 0031509853     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900051     Document Type: Article
Times cited : (22)

References (22)
  • 2
    • 0003316646 scopus 로고
    • Expansions in eigenfunctions of selfadjoint operators
    • Providence, RI: AMS
    • JU. M. BEREZANSKII (1968): Expansions in Eigenfunctions of Selfadjoint Operators. Translation of Mathematical Monographs. Vol. 17 Providence, RI: AMS.
    • (1968) Translation of Mathematical Monographs , vol.17
    • Berezanskii, J.U.M.1
  • 3
    • 0029715611 scopus 로고    scopus 로고
    • A spectral analysis for self-adjoint operators generated by a class of second-order difference equations
    • S. L. CLARK (1996): A spectral analysis for self-adjoint operators generated by a class of second-order difference equations. J. Math. Anal. Appl. 197:267-285.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 267-285
    • Clark, S.L.1
  • 4
    • 0001080798 scopus 로고
    • Spectral properties of real parts of weighted shift operators
    • J. DOMBROWSKI (1980): Spectral properties of real parts of weighted shift operators, Indiana U. Math. J. 29:249-259.
    • (1980) Indiana U. Math. J. , vol.29 , pp. 249-259
    • Dombrowski, J.1
  • 5
    • 84972562215 scopus 로고
    • Tridiagonal matrix representations of cyclic self-adjoint operators II
    • J. DOMBROWSKI (1985): Tridiagonal matrix representations of cyclic self-adjoint operators II. Pacific J. Math., 120:47-53.
    • (1985) Pacific J. Math. , vol.120 , pp. 47-53
    • Dombrowski, J.1
  • 6
    • 0001320891 scopus 로고
    • Cyclic operators, commutators and absolutely continuous measures
    • J. DOMBROWSKI (1987): Cyclic operators, commutators and absolutely continuous measures. Proc. Amer. Math. Soc., 100:457-463.
    • (1987) Proc. Amer. Math. Soc. , vol.100 , pp. 457-463
    • Dombrowski, J.1
  • 7
    • 0001075014 scopus 로고
    • Spectral measures, orthogonal polynomials and absolute continuity
    • J. DOMBROWSKI (1988): Spectral measures, orthogonal polynomials and absolute continuity. SIAM J. Math. Anal., 19:939-943.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 939-943
    • Dombrowski, J.1
  • 8
    • 0011697975 scopus 로고
    • Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients
    • J. DOMBROWSKI (1992): Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients. Const. Approx., 8:161-167.
    • (1992) Const. Approx. , vol.8 , pp. 161-167
    • Dombrowski, J.1
  • 9
    • 0001316089 scopus 로고
    • Orthogonal polynomials, spectral measures and absolute continuity
    • J. DOMBROWSKI, S. PEDERSEN (1995): Orthogonal polynomials, spectral measures and absolute continuity. J. Comput. Appl. Math., 65:115-124.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 115-124
    • Dombrowski, J.1    Pedersen, S.2
  • 11
    • 38249028342 scopus 로고
    • On the spectra of infinite dimensional Jacobi matrices
    • J. S. GERONIMO (1988): On the spectra of infinite dimensional Jacobi matrices. J. Approx. Theory, 53: 251-265.
    • (1988) J. Approx. Theory , vol.53 , pp. 251-265
    • Geronimo, J.S.1
  • 12
    • 0000591941 scopus 로고
    • Spectral analysis of second-order difference equations
    • D. B. HINTON, R. T. LEWIS (1978): Spectral analysis of second-order difference equations. J. Math. Anal. Appl., 63:421-438.
    • (1978) J. Math. Anal. Appl. , vol.63 , pp. 421-438
    • Hinton, D.B.1    Lewis, R.T.2
  • 13
    • 0000625846 scopus 로고
    • A survey of general orthogonal polynomials for weights on finite and infinite intervals
    • D. S. LUBINSKY (1987): A survey of general orthogonal polynomials for weights on finite and infinite intervals. Acta Appl. Math., 10:237-296.
    • (1987) Acta Appl. Math. , vol.10 , pp. 237-296
    • Lubinsky, D.S.1
  • 15
    • 0002260044 scopus 로고
    • Orthogonal polynomials and absolutely continuous measures
    • C. K. Chui, L. L. Schumaker, J. D. Ward, eds.. New York: Academic Press
    • A. MATE, P. NEVAI (1983): Orthogonal polynomials and absolutely continuous measures. In Approximation Theory IV (C. K. Chui, L. L. Schumaker, J. D. Ward, eds.). New York: Academic Press. pp. 611-617.
    • (1983) Approximation Theory IV , pp. 611-617
    • Mate, A.1    Nevai, P.2
  • 16
    • 0000956929 scopus 로고
    • Orthogonal polynomials
    • Providence, RI: American Mathematical Society
    • P. NEVAI (1979): Orthogonal Polynomials. Mem. Amer. Math. Soc. vol. 18, no. 213. Providence, RI: American Mathematical Society.
    • (1979) Mem. Amer. Math. Soc. , vol.18 , Issue.213
    • Nevai, P.1
  • 17
    • 0003204226 scopus 로고
    • Commutation properties of Hilbert space operators and related topics
    • Berlin: Springer-Verlag
    • C. R. PUTNAM (1967) Commutation Properties of Hilbert Space Operators and Related Topics. Ergebnisse der Math. No. 36. Berlin: Springer-Verlag.
    • (1967) Ergebnisse der Math. , vol.36
    • Putnam, C.R.1
  • 18
    • 0002199277 scopus 로고
    • Moment problems and operators in Hilbert space
    • In Moments in Mathematics (H. Landau, ed.). Providence, RI: Amer. Math. Soc.
    • D. SARASON (1987): Moment problems and operators in Hilbert space. In Moments in Mathematics (H. Landau, ed.). Proceedings of Symposia in Applied Mathematics, vol. 37. Providence, RI: Amer. Math. Soc., pp. 54-70.
    • (1987) Proceedings of Symposia in Applied Mathematics , vol.37 , pp. 54-70
    • Sarason, D.1
  • 19
    • 0001592725 scopus 로고
    • Operators with singular continuous spectrum, I. General operators
    • B. SIMON (1995): Operators with singular continuous spectrum, I. General operators. Ann. of Math., 141:131-145.
    • (1995) Ann. of Math. , vol.141 , pp. 131-145
    • Simon, B.1
  • 20
    • 51249166810 scopus 로고
    • Spectral theory for slowly oscillating potentials. I. Jacobi matrices
    • G. STOLZ (1994): Spectral theory for slowly oscillating potentials. I. Jacobi matrices. Manuscripta Math., 84:245-260.
    • (1994) Manuscripta Math. , vol.84 , pp. 245-260
    • Stolz, G.1
  • 21
    • 0003445370 scopus 로고
    • Linear transformations in Hilbert space
    • Providence, RI, 1932, reprinted 1983
    • M. STONE (1983): Linear Transformations in Hilbert Space. Amer. Math. Soc. Colloq. Publ., vol. 15 (Providence, RI, 1932, reprinted 1983).
    • (1983) Amer. Math. Soc. Colloq. Publ. , vol.15
    • Stone, M.1
  • 22
    • 0001265332 scopus 로고
    • Asymptotics for orthogonal polynomials and three-term recurrences
    • P. Nevai, ed.. NATO ASI Series C, Dordrecht: Kluwer
    • W. VAN ASSCHE (1990): Asymptotics for orthogonal polynomials and three-term recurrences. In: Orthogonal Polynomials: Theory and Practice (P. Nevai, ed.). NATO ASI Series C, Vol. 294 Dordrecht: Kluwer, pp. 435-462.
    • (1990) Orthogonal Polynomials: Theory and Practice , vol.294 , pp. 435-462
    • Van Assche, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.