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

top
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

top

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

top
  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) Zbl0639.46041MR0939303
  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) Zbl0832.46032MR1156362
  6. Fisher B., Özçağ E., Results on the commutative neutrix convolution product of distributions, Arch. Math. 29 (1993), 105-117. (1993) Zbl0812.46028MR1242633
  7. Gel'fand I.M., Shilov G.E., Generalized Functions, Vol. I, Academic Press, 1964. Zbl0159.18301MR0166596

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.