# Commutative neutrix convolution products of functions

Commentationes Mathematicae Universitatis Carolinae (1994)

- Volume: 35, Issue: 1, page 47-53
- ISSN: 0010-2628

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topFisher, Brian, and Kiliçman, Adem. "Commutative neutrix convolution products of functions." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 47-53. <http://eudml.org/doc/21992>.

@article{Fisher1994,

abstract = {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.},

author = {Fisher, Brian, Kiliçman, Adem},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {neutrix; neutrix limit; neutrix convolution product; neutrix limit; neutrix convolution},

language = {eng},

number = {1},

pages = {47-53},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Commutative neutrix convolution products of functions},

url = {http://eudml.org/doc/21992},

volume = {35},

year = {1994},

}

TY - JOUR

AU - Fisher, Brian

AU - Kiliçman, Adem

TI - Commutative neutrix convolution products of functions

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1994

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 35

IS - 1

SP - 47

EP - 53

AB - 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.

LA - eng

KW - neutrix; neutrix limit; neutrix convolution product; neutrix limit; neutrix convolution

UR - http://eudml.org/doc/21992

ER -

## References

top- van der Corput J.G., Introduction to the neutrix calculus, J. Analyse Math. 7 (1959-60), 291-398. (1959-60) Zbl0097.10503MR0124678
- Fisher B., Neutrices and the convolution of distributions, Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17 (1987), 119-135. (1987) MR0939303
- Fisher B., Chen Y., Non-commutative neutrix convolution products of functions, Math. Balkanica, to appear. Zbl0907.46033MR1379246
- 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. Zbl0821.46050MR1319771
- Fisher B., Özçağ E., A result on the commutative neutrix convolution product of distributions, Doğa, Turkish J. Math. 16 (1992), 33-45. (1992) MR1156362
- Fisher B., Özçağ E., Results on the commutative neutrix convolution product of distributions, Arch. Math. 29 (1993), 105-117. (1993) MR1242633
- Gel'fand I.M., Shilov G.E., Generalized Functions, Vol. I, Academic Press, 1964. Zbl0159.18301MR0166596

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