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Original Articles

THE LEGENDRE TYPE OPERATOR IN A LEFT DEFINITE HILBERT SPACE

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Pages 467-475 | Received 16 Mar 1992, Published online: 17 Sep 2010

References

  • Everitt , W. N. and Littlejohn , L. L. 1988 . “Differential operators and the Legendre type polynomials” . Diff & Int Eq. , 1 : 97 – 116 .
  • Everitt , W. N. , Krall , A. M. and Littlejohn , L. L. 1990 . “On some properties of the Legendre type differential expression” . Quaes. Math. , 13 : 83 – 106 .
  • Everitt , W. N. , Littlejohn , L. L. and Williams , s. c. “The left definite Legendre type boundary problem” . In Const. Approx. (to appear)
  • Hajmirzaahmad , M. 1991 . Ph.D. dissertation “The spectral resolution of Laguerre operators in L 2(0, ∞, x a e-x) and H 2(0, ∞; x a e-x)”, The Penn State University
  • Krall , A. M. 1992 . “Regular left definite boundary value problems of even order”, Quaes. . Math. , 15 : 105 – 118 .
  • Krall , A. M. and Littlejohn , L. L. “The Legendre polynomials under a left definite energy norm” Submitted

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