Interpolation and Transmutation

  • Amin Boumenir

    University of West Georgia, Carrollton, United States


We show that the existence of a transmutation between two self-adjoint operators and 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