JournalszaaVol. 26, No. 4pp. 407–416

Interpolation and Transmutation

  • Amin Boumenir

    University of West Georgia, Carrollton, United States
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We show that the existence of a transmutation between two self-adjoint operators L1L_{1} and L2L_{2} is equivalent to the existence of an interpolation operator in the spectral variable. This equivalence helps construct a transmutation operator between abstract self-adjoint operators.

Cite this article

Amin Boumenir, Interpolation and Transmutation. Z. Anal. Anwend. 26 (2007), no. 4, pp. 407–416

DOI 10.4171/ZAA/1332