When is $F(p)$ the Laplace transform of a bounded $f(t)$?
@inproceedings{Ramm2022WhenI, title={When is \$F(p)\$ the Laplace transform of a bounded \$f(t)\$?}, author={Alexander G. Ramm}, year={2022} }
Sufficient conditions are given for a function F (p), analytic in Rep > 0, to be a Laplace transform of a function f(t), such that maxt≥0|f(t)| < ∞, f(0) = 0.
References
SHOWING 1-4 OF 4 REFERENCES
The Laplace Transform
- MathematicsNature
- 1943
THE theory of Fourier integrals arises out of the elegant pair of reciprocal formulæThe Laplace TransformBy David Vernon Widder. (Princeton Mathematical Series.) Pp. x + 406. (Princeton: Princeton…
The Navier-Stokes Problem
- PhilosophySynthesis Lectures on Mathematics & Statistics
- 2021
One of the millennium problems is discussed. The results of the author’s solution to this problem are explained. The problem discussed is the Navier-Stokes problem in the whole space.
Methods of the theory of functions of complex variable
- GIFML, Moscow,
- 1958
Integral tranforms of generalized functions
- Nauka, Moskow
- 1977