Commutative neutrix convolution products of functions

Brian Fisher; Adem Kiliçman

Commentationes Mathematicae Universitatis Carolinae (1994)

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

Abstract

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The commutative neutrix convolution product of the functions x r e - λ x and x s e + μ x is evaluated for r , s = 0 , 1 , 2 , ... and all λ , μ . Further commutative neutrix convolution products are then deduced.

How to cite

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Fisher, 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

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  1. van der Corput J.G., Introduction to the neutrix calculus, J. Analyse Math. 7 (1959-60), 291-398. (1959-60) Zbl0097.10503MR0124678
  2. 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
  3. Fisher B., Chen Y., Non-commutative neutrix convolution products of functions, Math. Balkanica, to appear. Zbl0907.46033MR1379246
  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. Zbl0821.46050MR1319771
  5. Fisher B., Özçağ E., A result on the commutative neutrix convolution product of distributions, Doğa, Turkish J. Math. 16 (1992), 33-45. (1992) MR1156362
  6. Fisher B., Özçağ E., Results on the commutative neutrix convolution product of distributions, Arch. Math. 29 (1993), 105-117. (1993) MR1242633
  7. Gel'fand I.M., Shilov G.E., Generalized Functions, Vol. I, Academic Press, 1964. Zbl0159.18301MR0166596

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