• Corpus ID: 245877646

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}
}
  • A. Ramm
  • Published 12 January 2022
  • Mathematics
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

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

  • A. Ramm
  • Philosophy
    Synthesis 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