Quasi-Asymptotic Behavior at Infinity of Tempered Operators

Authors

  • Dennis Nemzer Department of Mathematics, California State University, Stanislaus, Turlock, CA, U.S.A.

DOI:

https://doi.org/10.5644/SJM.11.2.05

Keywords:

Final value theorem, Mikusiński operator, quasi-asymptotic behavior, Stieltjes transform, tempered distribution, tempered operator

Abstract

A subspace of Mikusiński operators, which was introduced by K. Yosida, is used to investigate quasi-asymptotic behavior at infinity in one dimension.

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References

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D. Atanasiu, P. Mikusi´nski, and D. Nemzer, An algebraic approach to tempered distributions, J. Math. Anal. Appl., 384 (2011), 307–319.

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D. Nemzer, Mikusi´nski’s operational calculus approach to the distributional Stieltjes transform, Adv. Math. Sci J., 2 (2013), 35–42.

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Published

03.06.2024

How to Cite

Nemzer, D. (2024). Quasi-Asymptotic Behavior at Infinity of Tempered Operators. Sarajevo Journal of Mathematics, 11(2), 181–195. https://doi.org/10.5644/SJM.11.2.05

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