On the Laplace transform

• Autorzy: Ramm Alexander G.

Identyfikatory

DOI

10.1515/jaa-2024-0003

• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions are given for a function F(p) to be the Laplace transform of a function f(t) or a distribution f . No assumption on f is given a priori. It is not even assumed that f = 0 for t < 0.

Słowa kluczowe

EN

Laplace transform; tempered distribution; analytic functions

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2024
• Tom: Vol. 30, nr 2
• Strony: 209--213
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Ramm Alexander G.

• Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA

Bibliografia

• [1] H. Bateman and A. Erdelyi, Tables of Integral Transforms, McGraw-Hill, New York, 1954.
• [2] L. Hörmander, The Analysis of Linear Partial Differential Operators. Vol. 1, Springer, New York, 1983.
• [3] A. G. Ramm, Analysis of the Navier-Stokes Problem. Solution of a Millennium Problem, Springer, Cham, 2023.
• [4] W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1974.
• [5] J. Schiff, The Laplace Transform, Springer, Berlin, 1999.