Abstract
A new proof is given thatn distinct points on the unit circle can be mapped inton arbitrary points on the unit circle of the complex plane by a finite Blaschke product. A result of this proof is that the mapping can be done with at mostn−1 factors in the product. The problem is studied in the context of its application to frequency transformations used to design digital filters.
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Communicated by Dieter Gaier.
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Jones, W.B., Ruscheweyh, S. Blaschke product interpolation and its application to the design of digital filters. Constr. Approx 3, 405–409 (1987). https://doi.org/10.1007/BF01890578
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DOI: https://doi.org/10.1007/BF01890578