Some commutative neutrix convolution products of functions

Brian Fisher; Adem Kiliçman

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 4, page 629-639
  • ISSN: 0010-2628

Abstract

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The commutative neutrix convolution product of the locally summable functions cos - ( λ x ) and cos + ( μ x ) is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.

How to cite

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Fisher, Brian, and Kiliçman, Adem. "Some commutative neutrix convolution products of functions." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 629-639. <http://eudml.org/doc/22136>.

@article{Fisher1995,
abstract = {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.},
author = {Fisher, Brian, Kiliçman, Adem},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {neutrix; neutrix limit; neutrix convolution product},
language = {eng},
number = {4},
pages = {629-639},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some commutative neutrix convolution products of functions},
url = {http://eudml.org/doc/22136},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Fisher, Brian
AU - Kiliçman, Adem
TI - Some commutative neutrix convolution products of functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 4
SP - 629
EP - 639
AB - 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.
LA - eng
KW - neutrix; neutrix limit; neutrix convolution product
UR - http://eudml.org/doc/22136
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., Kiliçman A., Commutative neutrix convolution products of functions, Commentationes Math. Univ. Carolinae 35 (1994), 47-53. (1994) Zbl0807.46038MR1292582
  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. (1993) Zbl0821.46050MR1319771
  4. Fisher B., Özçağ E., Results on the commutative neutrix convolution product of distributions, Arch. Math. 29 (1993), 105-117. (1993) Zbl0812.46028MR1242633
  5. Gel'fand I.M., Shilov G.E., Generalized Functions, Vol. I, Academic Press, 1964. Zbl0159.18301MR0166596
  6. Kiliçman A., Fisher B., Pehlivan S., On the neutrix convolution product ln x - * ln x + , submitted for publication. Zbl0896.46027

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