Title:
|
Laplace $L_2$-transform of distributions (English) |
Author:
|
Kučera, Jan |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
19 |
Issue:
|
1 |
Year:
|
1969 |
Pages:
|
181-189 |
. |
Category:
|
math |
. |
MSC:
|
42.00 |
MSC:
|
46.40 |
idZBL:
|
Zbl 0176.42302 |
idMR:
|
MR0240617 |
DOI:
|
10.21136/CMJ.1969.100885 |
. |
Date available:
|
2008-06-09T13:40:58Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100885 |
. |
Reference:
|
[1] L. Schwartz: Théorie des distributions.vols I, II, Hermann, Paris 1950, 1951. Zbl 0037.07301, MR 0209834 |
Reference:
|
[2] L. Schwartz: Transformation de Laplace des distributions.Medd. Lunds Univ. Mat. Seminarium, tome supplémentaire, Lund 1952, pp. 196-206. Zbl 0047.34903, MR 0052555 |
Reference:
|
[3] L. Schwartz: Méthodes mathématiques pour les sciences physiques.Hermann, Paris 1961. Russian trans. Математические методы для физических наук, Москва 1965. Zbl 0101.41301 |
Reference:
|
[4] A. H. Zemanian: The distributional Laplace and Mellin transformations.J. SIAM AppL Math., Vol. 14, No 1, January 1966, pp. 41-59. Zbl 0147.11903, MR 0190640, 10.1137/0114004 |
Reference:
|
[5] A. H. Zemanian: Inversion formulas for the distributional Laplace transformation.J. SIAM Appl. Math., Vol. 14, No 1, January 1966, pp. 159-166. Zbl 0147.11904, MR 0190641, 10.1137/0114013 |
Reference:
|
[6] Ditkin, Kuznecov: Справочник no операционному исчислению, Москва, Ленинград.1954. Czech trans. Příručka operátorového počtu, Praha 1954. |
Reference:
|
[7] Ditkin, Prudnikov: Операционное исчисление по двум переменным и его приложения.Москва 1958. Zbl 0126.31403 |
Reference:
|
[8] S. Bochner K. Chandrasekharan: Fourier Transforms.Princeton 1949. MR 0031582 |
Reference:
|
[9] J. Nečas: Une note sur la propriété caractéristique de la transformée de Laplace d'une fonction et sur certaines espaces de Hubert dont la somme est l'ensemble des transformés de Laplace de distributions.Čas. pro pěst. mat., 83 (1958), pp. 160-170. MR 0103394 |
Reference:
|
[10] J. Kučera: Multiple Laplace integral.Czech. Math. J. 18 (93), (1968), 666-674. MR 0241904 |
Reference:
|
[11] J. Kučera: Fourier L_2-transform of distributions.Czech. Math. J. 19 (94), (1969), 143-153. MR 0240616 |
. |