Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
51
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

On representations, inversions, and approximations of laplace transforms in banach spaces

&
Pages 151-170 | Published online: 02 May 2007

References

  • Arendt , W. 1987 . Vector valued Laplace transforms and Cauchy problems . Israel J. Math , 59 : 327 – 352 .
  • Berens , M. and Butzer , P.L. 1965 . Über die Darstellung vektorwertiger holomorpher Funktionen durch Laplace-Integrale . Math. Annalen , 158 : 269 – 283 .
  • Diestel , J. and Uhl , J. J. 1977 . Vector Measures , Providence, Rhode Island : Amer. Math. Soc .
  • Doetsch , G. 1950 . Handbuch der Laplace-Transformation I , Base1 : Verlag Birkhäuser .
  • Hille , E. 1948 . Functional Analysis and Semi-Groups , Vol. 31 , New York : Amer. Math. Soc. Coll. Publ .
  • Hille , E. and Phillips , R.S. 1957 . Functional Analysis and Semi-Groups , Providence, Rhode Island : Amer. Math. Soc. Coll. Publ .
  • Leviatan , D. 1969 . On the represntation of functions as Laplace integrals . London Math. Soc , 4 : 88 – 92 .
  • Miyadera , I. 1956 . On the representation theorem by the Laplace transformation of vector-valued functions . Tohoku Math.J. , 8 : 170 – 180 .
  • Riesz , F. and Nagy , B.Sz. 1990 . Functional Analysis , New York : Dover .
  • Schaefer , H.H. 1980 . Topological Vector Spaces , Berlin : Springer .
  • Sova , M. 1977 . On inversion of Laplace transform (I) . [d]asopis pro pëstováni mat , 102 : 166 – 172 .
  • Sova , M. 1979 . The Laplace transform of analytic vector-valued fucntions (real conditions) . [d]asopis pro pëstováni mat , 104 : 188 – 199 .
  • Sova , M. 1979 . The Laplace transform of analytic vector-valued functions . [d]asopis pro pëstováni mat , 104 : 267 – 280 .
  • Sova , M. 1979 . The Laplace transform of exponentially lipschitzian vector-valued functions . [d]asopis pro pëstovàni mat , 104 : 370 – 381 .
  • Sova , M. 1980 . the Laplace transform of exponentially bounded vector-valued functions . [d]asopis pro pëstovàni mat , 105 : 1 – 13 .
  • Sova , M. 1980 . Relation between real and complex properties of the Laplace transform . [d]asopis pro pëstovàni mat , 105 : 111 – 119 .
  • Sova , M. 1981 . On the equivalence of Widder-Miyadera's and Leviatan's repre- sentability conditions for the Laplace transform of integrable, vector-valued functions . [d]asopis pro pëstovàni mat , 106 : 117 – 126 .
  • Sova , M. 1981 . On a fundamental theorem of the Laplace transform theory . [d]asopis pro pëstovàni mat , 106 : 231 – 242 .
  • Sova , M. 1982 . General representability problem for the Laplace transform of exponentially bounded vector-valued functions . [d]dasopis pro pëstovàni mat , 107 : 69 – 89 .
  • Weis , L. 1991 . The inversion of the vector-valued Laplace transform in L (X) - spaces. Preprint. LSU Seminar Notes in Functional Analysis and PDEs , Baton Rouge .
  • Widder , D.V. 1946 . The Laplace transform. Princeton University Press , New Jersey : Princeton .
  • Widder , D.V. 1989 . Advanced Calculus , New York : Dover .
  • Zaidman , S. 1960 . Sur un théoreme de I. Miyadera concernant la repreésentation des fonctions vectorielles par des intégrales de Laplace . Tohoku Math. J , 12 : 47 – 51 .
  • Zaidman , S. 1960 . La representation des fonctions vectorielles par des integrales de Laplace-Stieltjes . Tohoku Math. J , 12 : 52 – 70 .
  • Zaidman , S. 1958 . La representation des fonctions vectorielles par des integrales de Laplace-Stieltjes . Ann. Math , 68 : 260 – 277 .
  • Zaidman , S. 1959 . The Laplace-Stieltjes transform of vector-valued functions . Duke Math. J , 26 : 183 – 188 .
  • Zaidman , S. 1959 . On the representaton of vector-valued functions by Laplace transforms . Duke Math. J. , 26 : 189 – 191 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.