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Volumn 99, Issue 1-2, 1998, Pages 311-318

Nevanlinna matrices for the strong Stieltjes moment problem

Author keywords

Nevanlinna matrices; Nevanlinna parametrization; Strong moment problems

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING;

EID: 0032208573     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00165-4     Document Type: Article
Times cited : (2)

References (29)
  • 2
    • 4243361741 scopus 로고
    • A survey of weak and strong moment problems with generalizations
    • University of Umeå, Preprint
    • E. Aldén, A survey of weak and strong moment problems with generalizations, Department of Mathematics, University of Umeå, Preprint 2 (1985) 1-38.
    • (1985) Department of Mathematics , vol.2 , pp. 1-38
    • Aldén, E.1
  • 3
    • 51249166315 scopus 로고
    • On the order and type of the entire functions associated with an indeterminate Hamburger moment problem
    • C. Berg, H.L. Pedersen, On the order and type of the entire functions associated with an indeterminate Hamburger moment problem, Ark. Mat. 32 (1994) 1-11.
    • (1994) Ark. Mat. , vol.32 , pp. 1-11
    • Berg, C.1    Pedersen, H.L.2
  • 5
    • 84972495861 scopus 로고
    • On indeterminate Hamburger moment problems
    • T.S. Chihara, On indeterminate Hamburger moment problems, Pacific J. Math. 27 (1968) 475-484.
    • (1968) Pacific J. Math. , vol.27 , pp. 475-484
    • Chihara, T.S.1
  • 7
    • 0000403584 scopus 로고
    • Indeterminate symmetric moment problems
    • T.S. Chihara, Indeterminate symmetric moment problems, J. Math. Anal. Appl. 85 (1982) 331-346.
    • (1982) J. Math. Anal. Appl. , vol.85 , pp. 331-346
    • Chihara, T.S.1
  • 8
    • 0002126019 scopus 로고
    • Orthogonal Laurent polynomials on the real line
    • S. Clement Cooper, W.J. Thron (Eds.), Marcel Dekker, New York
    • L. Cochran, S. Clement Cooper, Orthogonal Laurent polynomials on the real line, in: S. Clement Cooper, W.J. Thron (Eds.), Continued Fractions and Orthogonal Functions, Marcel Dekker, New York, 1994, pp. 47-100.
    • (1994) Continued Fractions and Orthogonal Functions , pp. 47-100
    • Cochran, L.1    Clement Cooper, S.2
  • 9
    • 0000166538 scopus 로고
    • Über eine erweiterung des stieltjesschen momentproblems, parts I, II, III
    • H. Hamburger, Über eine Erweiterung des Stieltjesschen Momentproblems, Parts I, II, III, Math. Ann. 81 (1920) 235-319; 82 (1921) 120-164; 168-187.
    • (1920) Math. Ann. , vol.81 , pp. 235-319
    • Hamburger, H.1
  • 10
    • 0000166538 scopus 로고
    • H. Hamburger, Über eine Erweiterung des Stieltjesschen Momentproblems, Parts I, II, III, Math. Ann. 81 (1920) 235-319; 82 (1921) 120-164; 168-187.
    • (1921) Math. Ann. , vol.82 , pp. 120-164
  • 11
    • 0000233649 scopus 로고
    • Orthogonal Laurent polynomials and the strong Hamburger moment problem
    • W.B. Jones, O. Njåstad, W.J. Thron, Orthogonal Laurent polynomials and the strong Hamburger moment problem, J. Math. Anal. Appl. 98 (1984) 528-554.
    • (1984) J. Math. Anal. Appl. , vol.98 , pp. 528-554
    • Jones, W.B.1    Njåstad, O.2    Thron, W.J.3
  • 12
    • 0011559833 scopus 로고
    • Continued fractions and strong Hamburger moment problems
    • W.B. Jones, O. Njåstad, W.J. Thron, Continued fractions and strong Hamburger moment problems, Proc. Lond. Math. Soc. 47 (1983) 363-384.
    • (1983) Proc. Lond. Math. Soc. , vol.47 , pp. 363-384
    • Jones, W.B.1    Njåstad, O.2    Thron, W.J.3
  • 14
    • 84976083931 scopus 로고
    • The classical moment problem: Hilbertian proofs
    • H.J. Landau, The classical moment problem: Hilbertian proofs, J. Funct. Anal. 38 (1980) 255-272.
    • (1980) J. Funct. Anal. , vol.38 , pp. 255-272
    • Landau, H.J.1
  • 15
    • 0003372433 scopus 로고
    • Moments in Mathematics
    • Amer. Math. Soc., Providence, RI
    • H.J. Landau (Ed.), Moments in Mathematics, Proc. Symp. Appl. Math. 37, Amer. Math. Soc., Providence, RI, 1987.
    • (1987) Proc. Symp. Appl. Math. , vol.37
    • Landau, H.J.1
  • 16
    • 0002997583 scopus 로고
    • Über beschränkte analytische funktionen
    • R. Nevanlinna, Über beschränkte analytische Funktionen, Ann. Acad. Sci. Fenn. A 32 (1929) 1-75.
    • (1929) Ann. Acad. Sci. Fenn. A , vol.32 , pp. 1-75
    • Nevanlinna, R.1
  • 18
    • 0000814789 scopus 로고
    • Solutions of the strong Stieltjes moment problem
    • O. Njåstad, Solutions of the strong Stieltjes moment problem, Meth. Appl. Anal. 2 (1995) 320-347.
    • (1995) Meth. Appl. Anal. , vol.2 , pp. 320-347
    • Njåstad, O.1
  • 19
    • 0039962545 scopus 로고
    • Extremal solutions of the strong Stieltjes moment problem
    • O. Njåstad, Extremal solutions of the strong Stieltjes moment problem, J. Comput. Appl. Math. 65 (1995) 309-318.
    • (1995) J. Comput. Appl. Math. , vol.65 , pp. 309-318
    • Njåstad, O.1
  • 20
    • 0029704177 scopus 로고    scopus 로고
    • Solutions of the strong Hamburger moment problem
    • O. Njåstad, Solutions of the strong Hamburger moment problem, J. Math. Anal. Appl. 197 (1996) 227-248.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 227-248
    • Njåstad, O.1
  • 22
    • 84974281190 scopus 로고
    • Unique solvability of the strong Hamburger moment problem
    • O. Njåstad, W.J. Thron, Unique solvability of the strong Hamburger moment problem, J. Austral. Math. Soc. (Series A) 40 (1986) 5-19.
    • (1986) J. Austral. Math. Soc. (Series A) , vol.40 , pp. 5-19
    • Njåstad, O.1    Thron, W.J.2
  • 23
    • 21844526403 scopus 로고
    • The Nevenlinna matrix of entire functions associated with a shifted indeterminate Hamburger moment problem
    • H.L. Pedersen, The Nevenlinna matrix of entire functions associated with a shifted indeterminate Hamburger moment problem, Math. Scand. 74 (1994) 152-160.
    • (1994) Math. Scand. , vol.74 , pp. 152-160
    • Pedersen, H.L.1
  • 24
    • 0041149680 scopus 로고
    • Sur le problème des moments, I, II, III, arkiv för matematik
    • (19)
    • M. Riesz, Sur le problème des moments, I, II, III, Arkiv för Matematik, Astronomi och Fysik 16 (12), (19) (1922); 17 (16) (1923).
    • (1922) Astronomi Och Fysik , vol.16 , Issue.12
    • Riesz, M.1
  • 25
    • 0039370225 scopus 로고
    • M. Riesz, Sur le problème des moments, I, II, III, Arkiv för Matematik, Astronomi och Fysik 16 (12), (19) (1922); 17 (16) (1923).
    • (1923) Astronomi Och Fysik , vol.17 , Issue.16
  • 27
    • 0002593008 scopus 로고
    • Recherches sur les fractions continues
    • 9, A 1-47
    • T.J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse 8 (1894) J. 1-122, 9, A 1-47; Oeuveres 2, 402-566.
    • (1894) Ann. Fac. Sci. Toulouse , vol.8
    • Stieltjes, T.J.1
  • 28
    • 0001421483 scopus 로고    scopus 로고
    • T.J. Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse 8 (1894) J. 1-122, 9, A 1-47; Oeuveres 2, 402-566.
    • Oeuveres , vol.2 , pp. 402-566
  • 29
    • 0003235349 scopus 로고
    • Linear transformations in Hilbert space and their applications to analysis
    • New York
    • M.H. Stone, Linear transformations in Hilbert space and their applications to analysis, Amer. Math. Soc. Coll. Publ., vol. 15, New York, 1932.
    • (1932) Amer. Math. Soc. Coll. Publ. , vol.15
    • Stone, M.H.1


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