Abstract
Extensions of the Nehari theorem and of the Sarason commutation theorem are given for compact abelian groups whose dual have a complete linear order compatible with the group structure. As a special case a version of the classical interpolation theorem due to Carathéodory — Féjer is obtained.
For these groups an extension of the Helson — Szegö theorem and integral representations for positive definite generalized Toeplitz kernels are given.
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Partially supported by the CDCH of the Universidad Central de Venezuela, and by CONICIT grant G-97000668.
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Dominguez, M. Interpolation and prediction problems for connected compact abelian groups. Integr equ oper theory 40, 212–230 (2001). https://doi.org/10.1007/BF01301466
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DOI: https://doi.org/10.1007/BF01301466