| Title:
|
Approximation of some regular distribution in $S'(\mathcal{R})$ by finite, convex, linear combinations of Blaschke distributions (English) |
| Author:
|
Manova Eraković, Vesna |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
2003 |
| Pages:
|
287-292 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
Blaschke product |
| Keyword:
|
upper Blaschke distribution |
| Keyword:
|
tempered distribution |
| Keyword:
|
approximation |
| MSC:
|
30D50 |
| MSC:
|
46E15 |
| MSC:
|
46F05 |
| MSC:
|
46F20 |
| idZBL:
|
Zbl 1115.46032 |
| idMR:
|
MR2028739 |
| . |
| Date available:
|
2008-06-06T22:42:20Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107876 |
| . |
| Reference:
|
[1] Bremerman, G.: Distributions, complex variables, and Fourier transforms.Mir, Moskva (1968). MR 0397392 |
| Reference:
|
[2] Carmichael, R. D. and Mitrović, D.: Distributions and analytic functions.John Wiley and Sons, Inc., New York (1988). |
| Reference:
|
[3] Carmichael, R. D. and Richters, S. P.: Holomorphic functions in tubes which have distributional boundary value and which are $H^p$ functions.Siam J. Math. Anal. 14, No. 3 (1983), 596–621. MR 0697530 |
| Reference:
|
[4] Duren, P. L.: Theory of $H^p$ Spaces.Acad. Press, New York (1970). MR 0268655 |
| Reference:
|
[5] Garnett, J.: Bounded analytic function.Acad. Press, New York (1981), 467pp. MR 0628971 |
| Reference:
|
[6] Koosis, P.: Introduction to $H^p$ spaces.Mir, Moskva (1984). MR 0777505 |
| Reference:
|
[7] Manova Eraković, V.: Introduction of Blaschke distributions and approximation of distributions in $D^{\prime }$ by a sequence of finite Blaschke distributions.Mat. Bilten, 24 (L), Skopje (2000). MR 1817293 |
| Reference:
|
[8] Schwartz, L.: Theorie des distributions.Tome I, Tome II, Herman and C$^{\text{ie}}$, Paris (1950, 1951). Zbl 0962.46025, MR 0035918 |
| Reference:
|
[9] Stanković, B., Pilipović, S.: Teorija distribucija.PMF, Novi Sad (1988). MR 0736516 |
| . |
