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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 functions $x^r e_-^{\lambda x}$ and $x^s e_+ ^{\mu x}$ is evaluated for $r,s =0,1,2, \ldots$ and all $\lambda, \mu$. Further commutative neutrix convolution products are then deduced.
References:
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[3] Fisher B., Chen Y.: Non-commutative neutrix convolution products of functions. Math. Balkanica, to appear. MR 1379246 | Zbl 0907.46033
[4] Fisher B., Kuan L.C.: A commutative neutrix convolution product of distributions. Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., to appear. MR 1319771 | Zbl 0821.46050
[5] Fisher B., Özçağ E.: A result on the commutative neutrix convolution product of distributions. Doğa, Turkish J. Math. 16 (1992), 33-45. MR 1156362
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[7] Gel'fand I.M., Shilov G.E.: Generalized Functions. Vol. I, Academic Press, 1964. MR 0166596 | Zbl 0159.18301
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