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Volumn 10, Issue 2, 1998, Pages 117-139

On the use of green's function in sampling theory

Author keywords

Boundary value problems; Kramer's sampling theorem

Indexed keywords


EID: 0000738719     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181074218     Document Type: Article
Times cited : (26)

References (18)
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    • Annaby, M.H.1    El-Sayed, M.A.2
  • 2
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    • Green's function of ordinary differential operators
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    • Benzinger, H.E.1
  • 3
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    • Pointwise and norm convergence of a class of biorthonormal expansions
    • H.E. Benzinger, Pointwise and norm convergence of a class of biorthonormal expansions, Trans. Amer. Math. Soc. 231 (1977), 259-271.
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    • Benzinger, H.E.1
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    • Boundary value and expansion problems of ordinary linear differential equations
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    • (1908) Trans. Amer. Math. Soc. , vol.9 , pp. 373-395
    • Birkhoff, G.D.1
  • 5
    • 0028443011 scopus 로고
    • Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems
    • P.L. Butzer and G. Schöttler, Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems, J. Comput. Appl. Math. 51 (1994), 159-177.
    • (1994) J. Comput. Appl. Math. , vol.51 , pp. 159-177
    • Butzer, P.L.1    Schöttler, G.2
  • 8
    • 0002772914 scopus 로고
    • Sturm-Liouville boundary value problems and Lagrange interpolation series
    • W.N. Everitt, G. Schöttler and P.L. Butzer, Sturm-Liouville boundary value problems and Lagrange interpolation series, Rend. Mat. Appl. (7) 14 (1994), 87-126.
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    • Everitt, W.N.1    Schöttler, G.2    Butzer, P.L.3
  • 10
    • 84966247262 scopus 로고
    • Some convergent developments associated with irregular boundary conditions
    • J.W. Hopkins, Some convergent developments associated with irregular boundary conditions, Trans. Amer. Math. Soc. 20 (1919), 245-259.
    • (1919) Trans. Amer. Math. Soc. , vol.20 , pp. 245-259
    • Hopkins, J.W.1
  • 14
    • 84966229831 scopus 로고
    • A comparison of the series of Fourier and Birkhoff
    • M.H. Stone, A comparison of the series of Fourier and Birkhoff, Trans. Amer. Math. Soc. 28 (1926), 695-761.
    • (1926) Trans. Amer. Math. Soc. , vol.28 , pp. 695-761
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  • 15
    • 0003087755 scopus 로고
    • Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions
    • J.D. Tamarkin, Some general problems of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions, Math. Z. 27 (1927), 1-54.
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    • Tamarkin, J.D.1
  • 16
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    • An irregular boundary value and expansion problem
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  • 17
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    • A new role of Green's function in interpolation and sampling theory
    • A.I. Zayed, A new role of Green's function in interpolation and sampling theory, J. Math. Anal. Appl. 175 (1993), 222-238.
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  • 18
    • 0002704845 scopus 로고
    • On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems
    • A.I. Zayed, M.A. El-Sayed and M.H. Annaby, On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems, J. Math. Anal. Appl. 158 (1991), 269-284.
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    • Zayed, A.I.1    El-Sayed, M.A.2    Annaby, M.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.