Strictly positive definite functions on a compact group
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- by Mohamed Allali and Tomasz Przebinda
- Proc. Amer. Math. Soc. 129 (2001), 1459-1462
- DOI: https://doi.org/10.1090/S0002-9939-00-05687-2
- Published electronically: October 24, 2000
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Abstract:
We recognize a result of Schreiner, concerning strictly positive definite functions on a sphere in an Euclidean space, as a generalization of Bochner’s theorem for compact groups.References
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Bibliographic Information
- Mohamed Allali
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- Address at time of publication: Department of Computer Science, Mathematics and Physics, Chapman University, Orange, California 92866
- Email: mallali@crystal.math.ou.edu
- Tomasz Przebinda
- Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
- MR Author ID: 257122
- Received by editor(s): December 18, 1998
- Received by editor(s) in revised form: August 30, 1999
- Published electronically: October 24, 2000
- Additional Notes: This research was partially supported by NSF Grant DMS 9622610.
- Communicated by: Roe Goodman
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1459-1462
- MSC (1991): Primary 43A35, 43A90, 42A82, 41A05
- DOI: https://doi.org/10.1090/S0002-9939-00-05687-2
- MathSciNet review: 1814173