Laplace L 2 -transform of distributions

Jan Kučera

Czechoslovak Mathematical Journal (1969)

  • Volume: 19, Issue: 1, page 181-189
  • ISSN: 0011-4642

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Kučera, Jan. "Laplace $L_2$-transform of distributions." Czechoslovak Mathematical Journal 19.1 (1969): 181-189. <http://eudml.org/doc/12461>.

@article{Kučera1969,
author = {Kučera, Jan},
journal = {Czechoslovak Mathematical Journal},
keywords = {integral equations, integral transforms},
language = {eng},
number = {1},
pages = {181-189},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Laplace $L_2$-transform of distributions},
url = {http://eudml.org/doc/12461},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Kučera, Jan
TI - Laplace $L_2$-transform of distributions
JO - Czechoslovak Mathematical Journal
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 1
SP - 181
EP - 189
LA - eng
KW - integral equations, integral transforms
UR - http://eudml.org/doc/12461
ER -

References

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  1. L. Schwartz, Théorie des distributions, vols I, II, Hermann, Paris 1950, 1951. (1950) Zbl0037.07301MR0209834
  2. L. Schwartz, Transformation de Laplace des distributions, Medd. Lunds Univ. Mat. Seminarium, tome supplémentaire, Lund 1952, pp. 196-206. (1952) Zbl0047.34903MR0052555
  3. L. Schwartz, Méthodes mathématiques pour les sciences physiques, Hermann, Paris 1961. Russian trans. Математические методы для физических наук, Москва 1965. (1961) Zbl0101.41301
  4. A. H. Zemanian, 10.1137/0114004, J. SIAM AppL Math., Vol. 14, No 1, January 1966, pp. 41-59. (1966) Zbl0147.11903MR0190640DOI10.1137/0114004
  5. A. H. Zemanian, 10.1137/0114013, J. SIAM Appl. Math., Vol. 14, No 1, January 1966, pp. 159-166. (1966) Zbl0147.11904MR0190641DOI10.1137/0114013
  6. Ditkin, Kuznecov, Справочник no операционному исчислению, Москва, Ленинград, 1954. Czech trans. Příručka operátorového počtu, Praha 1954. (1954) 
  7. Ditkin, Prudnikov, Операционное исчисление по двум переменным и его приложения, Москва 1958. (1958) Zbl0126.31403
  8. S. Bochner K. Chandrasekharan, Fourier Transforms, Princeton 1949. (1949) MR0031582
  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. (1958) MR0103394
  10. J. Kučera, Multiple Laplace integral, Czech. Math. J. 18 (93), (1968), 666-674. (1968) MR0241904
  11. J. Kučera, Fourier L_2-transform of distributions, Czech. Math. J. 19 (94), (1969), 143-153. (1969) MR0240616

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