| Title:
|
Some commutative neutrix convolution products of functions (English) |
| Author:
|
Fisher, Brian |
| Author:
|
Kiliçman, Adem |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
1995 |
| Pages:
|
629-639 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
neutrix |
| Keyword:
|
neutrix limit |
| Keyword:
|
neutrix convolution product |
| MSC:
|
46F10 |
| idZBL:
|
Zbl 1032.46511 |
| idMR:
|
MR1378686 |
| . |
| Date available:
|
2009-01-08T18:20:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118792 |
| . |
| Reference:
|
[1] van der Corput J.G.: Introduction to the neutrix calculus.J. Analyse Math. 7 (1959-60), 291-398. Zbl 0097.10503, MR 0124678 |
| Reference:
|
[2] Fisher B., Kiliçman A.: Commutative neutrix convolution products of functions.Commentationes Math. Univ. Carolinae 35 (1994), 47-53. MR 1292582 |
| Reference:
|
[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. MR 1319771 |
| Reference:
|
[4] Fisher B., Özçağ E.: Results on the commutative neutrix convolution product of distributions.Arch. Math. 29 (1993), 105-117. MR 1242633 |
| Reference:
|
[5] Gel'fand I.M., Shilov G.E.: Generalized Functions.Vol. I, Academic Press, 1964. Zbl 0159.18301, MR 0166596 |
| Reference:
|
[6] Kiliçman A., Fisher B., Pehlivan S.: On the neutrix convolution product $\ln x_{-} * \ln x_{+}$.submitted for publication. |
| . |
