| Title:
|
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:
|
35 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
47-53 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
neutrix |
| Keyword:
|
neutrix limit |
| Keyword:
|
neutrix convolution product |
| MSC:
|
41A60 |
| MSC:
|
44A35 |
| MSC:
|
46F10 |
| MSC:
|
49J45 |
| MSC:
|
49Q20 |
| idZBL:
|
Zbl 1009.46018 |
| idMR:
|
MR1292582 |
| . |
| Date available:
|
2009-01-08T18:08:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118640 |
| . |
| 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.: Neutrices and the convolution of distributions.Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 17 (1987), 119-135. MR 0939303 |
| Reference:
|
[3] Fisher B., Chen Y.: Non-commutative neutrix convolution products of functions.Math. Balkanica, to appear. Zbl 0907.46033, MR 1379246 |
| Reference:
|
[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. Zbl 0821.46050, MR 1319771 |
| Reference:
|
[5] Fisher B., Özçağ E.: A result on the commutative neutrix convolution product of distributions.Doğa, Turkish J. Math. 16 (1992), 33-45. MR 1156362 |
| Reference:
|
[6] Fisher B., Özçağ E.: Results on the commutative neutrix convolution product of distributions.Arch. Math. 29 (1993), 105-117. MR 1242633 |
| Reference:
|
[7] Gel'fand I.M., Shilov G.E.: Generalized Functions.Vol. I, Academic Press, 1964. Zbl 0159.18301, MR 0166596 |
| . |
