Linear convolution integral equations with asymptotically almost periodic solutions
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- by G. S. Jordan, W. R. Madych and R. L. Wheeler PDF
- Proc. Amer. Math. Soc. 78 (1980), 337-341 Request permission
Abstract:
Let $\mu$ be a bounded Borel measure and f be asymptotically almost periodic. Conditions are found which ensure that certain bounded solutions of the linear convolution integral equation $g \ast \mu = f$ are asymptotically almost periodic. This result is also extended to the case where the measure $\mu$ is replaced by a tempered distribution $\tau$ for which convolution with bounded functions makes sense.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 337-341
- MSC: Primary 45E10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553371-7
- MathSciNet review: 553371