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Zeitschrift für Analysis und ihre Anwendungen

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Volume 26, Issue 4, 2007, pp. 407–416
DOI: 10.4171/ZAA/1332

Published online: 2007-12-31

Interpolation and Transmutation

Amin Boumenir[1]

(1) University of West Georgia, Carrollton, United States

We show that the existence of a transmutation between two self-adjoint operators $L_{1}$ and $L_{2}$ 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.

Keywords: Sampling, interpolation, transmutation

Boumenir Amin: Interpolation and Transmutation. Z. Anal. Anwend. 26 (2007), 407-416. doi: 10.4171/ZAA/1332