Some commutative neutrix convolution products of functions
Fisher, Brian ; Kiliçman, Adem
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 629-639 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1995-01-01
Classification:  46F10
@article{118792,
     author = {Brian Fisher and Adem Kili\c cman},
     title = {Some commutative neutrix convolution products of functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {629-639},
     zbl = {1032.46511},
     mrnumber = {1378686},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118792}
}
Fisher, Brian; Kiliçman, Adem. Some commutative neutrix convolution products of functions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 629-639. http://gdmltest.u-ga.fr/item/118792/

Van Der Corput J.G. Introduction to the neutrix calculus, J. Analyse Math. 7 (1959-60), 291-398. (1959-60) | MR 0124678 | Zbl 0097.10503

Fisher B.; Kiliçman A. Commutative neutrix convolution products of functions, Commentationes Math. Univ. Carolinae 35 (1994), 47-53. (1994) | MR 1292582

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) | MR 1319771

Fisher B.; Özçağ E. Results on the commutative neutrix convolution product of distributions, Arch. Math. 29 (1993), 105-117. (1993) | MR 1242633

Gel'Fand I.M.; Shilov G.E. Generalized Functions, Vol. I, Academic Press, 1964. | MR 0166596 | Zbl 0159.18301

Kiliçman A.; Fisher B.; Pehlivan S. On the neutrix convolution product $\ln x_{-} * \ln x_{+}$, submitted for publication.