Transforms of measures on quotients and spline functions

Author:
Alan MacLean

Journal:
Trans. Amer. Math. Soc. **261** (1980), 287-296

MSC:
Primary 43A25; Secondary 41A05

MathSciNet review:
576876

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Abstract | References | Similar Articles | Additional Information

Abstract: Let *G* be a LCA group with closed subgroup *H* and let . A general procedure is established for constructing a large family of measures in whose Fourier transforms interpolate . This method is used to extend a theorem of Shepp and Goldberg by showing that if , then each even order cardinal spline function which interpolates the sequence Fourier transform of a bounded Borel measure on *R*.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1980-0576876-6

Keywords:
LCA group,
bounded Borel measure,
Fourier-Stieltjes transform,
spline function

Article copyright:
© Copyright 1980
American Mathematical Society