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Keywords:
neutrix; neutrix limit; neutrix convolution product
neutrix; neutrix limit; neutrix convolution product
Summary:
The commutative neutrix convolution product of the locally summable functions $\cos_ -( \lambda x)$ and $\cos_+ (\mu x)$ is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.
References:
[1] van der Corput J.G.: Introduction to the neutrix calculus. J. Analyse Math. 7 (1959-60), 291-398. MR 0124678 | Zbl 0097.10503
[2] Fisher B., Kiliçman A.: Commutative neutrix convolution products of functions. Commentationes Math. Univ. Carolinae 35 (1994), 47-53. MR 1292582
[3] Fisher B., Li Chen Kuan, HASH(0x8fb6740): A commutative neutrix convolution product of distributions. Univ. u Novom Sadu Zb. Rad. Privod.-Mat. Fak. Ser. Mat. 23 (1993), 13-27. MR 1319771
[4] Fisher B., Özçağ E.: Results on the commutative neutrix convolution product of distributions. Arch. Math. 29 (1993), 105-117. MR 1242633
[5] Gel'fand I.M., Shilov G.E.: Generalized Functions. Vol. I, Academic Press, 1964. MR 0166596 | Zbl 0159.18301
[6] Kiliçman A., Fisher B., Pehlivan S.: On the neutrix convolution product $\ln x_{-} * \ln x_{+}$. submitted for publication.
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