Publication Cover
Applicable Analysis
An International Journal
Volume 58, 1995 - Issue 3-4
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Original Articles

Transmutation of operators with disjoint spectra

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Pages 303-311 | Received 05 Apr 1995, Published online: 02 May 2007

  • Akhiezer , N. and Glazman , I. 1950 . Theory of linear operators in Hilbert space, Moscow
  • Begehr , H. and Gilbert , R. 1992 . Transformations, transmutations, and kernel functions, , Longman .
  • Berezanskij , Yu. 1965 . Expansions in eigenfunctions of selfadjoint operators, Moscow
  • Bournenir , A. 1991 . Proc. Amer. Math. Soc., , 111 : 161 – 175 .
  • Bournenir , A. in press . Transmutation operator for 1/w D2x Proc . Edinburgh Math. Soc., to appear ,
  • Bournenir , A. in press . Direct computation of the spectral function . Proc. Amer. Math. Soc., to appear ,
  • Bournenir , A. and Carroll , R. in press . Toward a general theory of transmutation . Jour. Nonlin. Anal., to appear ,
  • Boumenir , A. 1994 . Inverse Prob. , 10 : 1079 – 1097 .
  • Carroll , R. 1991 . Topics in soliton theory North-Holland
  • Carroll , R. 1982 . Transmutation, scattering theory, and special functions, North-Holland
  • Carroll , R. 1985 . Transmutation theory and applications, North-Holland
  • Carroll , R. 1979 . Transmutation theory and operator differential equations North-Holland
  • Carroll , R. 1988 . Mathematical physics North-Holland
  • Gelfand , I. and Shilov , G. 1958 . Generalized functions, 1-3, Moscow
  • Gelfand , I. and Vilenkin , N. 1961 . Generalized functions, 4 Moscow
  • Levitan , B. 1984 . Inverse Sturm-Liouville problems Moscow
  • Levitan , B. 1973 . The theory of generalized translation operators Moscow
  • Levitan , B. and Gasyrnov , M. 1964 . Uspekhi Mat. Nauk, , 19 : 3 – 63 .
  • Lions , J. L. Equations differentielles operationelles,
  • Marchenko , V. 1977 . Sturm-Liouville operators and their applications Kiev
  • Maurin , K. 1968 . Generalized eigenfunction expansions and unitary representations of topological groups Warsaw
  • Trimeche , K. 1988 . Trimeche 23.ansmutation operators and mean periodic functions associated with differential operators Harwood
  • Titchmarsh , E. 1932 . Theory of functions, Oxford

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