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  2. Gustav Doetsch - Wikipedia

    en.wikipedia.org/wiki/Gustav_Doetsch

    Modern Laplace transform [ edit ] The modern formation and permanent structure of the Laplace transform is found in Doetsch's 1937 work Theorie und Anwendung der Laplace-Transformation ( transl. Theory and application of the Laplace transformation ) [ 5 ] which was well-received internationally. [ 1 ]

  3. Riemann–Lebesgue lemma - Wikipedia

    en.wikipedia.org/wiki/Riemann–Lebesgue_lemma

    In mathematics, the Riemann–Lebesgue lemma, named after Bernhard Riemann and Henri Lebesgue, states that the Fourier transform or Laplace transform of an L 1 function vanishes at infinity. It is of importance in harmonic analysis and asymptotic analysis .

  4. List of Laplace transforms - Wikipedia

    en.wikipedia.org/wiki/List_of_Laplace_transforms

    The following is a list of Laplace transforms for many common functions of a single variable. [1] The Laplace transform is an integral transform that takes a function of a positive real variable t (often time) to a function of a complex variable s (complex angular frequency ).

  5. Absolutely and completely monotonic functions and sequences

    en.wikipedia.org/wiki/Absolutely_and_completely...

    (Chapter 1 Laplace transforms and completely monotone functions) D. V. Widder (1946). The Laplace Transform. Princeton University Press. See Chapter III The Moment Problem (pp. 100 - 143) and Chapter IV Absolutely and Completely Monotonic Functions (pp. 144 - 179). Milan Merkle (2014).

  6. Laplace transform - Wikipedia

    en.wikipedia.org/wiki/Laplace_transform

    In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ l ə ˈ p l ɑː s /), is an integral transform that converts a function of a real variable (usually , in the time domain) to a function of a complex variable (in the complex-valued frequency domain, also known as s-domain, or s-plane).

  7. Laplace transform applied to differential equations - Wikipedia

    en.wikipedia.org/wiki/Laplace_transform_applied...

    In mathematics, the Laplace transform is a powerful integral transform used to switch a function from the time domain to the s-domain. The Laplace transform can be used in some cases to solve linear differential equations with given initial conditions. First consider the following property of the Laplace transform:

  8. Dorothy Lewis Bernstein - Wikipedia

    en.wikipedia.org/wiki/Dorothy_Lewis_Bernstein

    Dorothy Lewis Bernstein (April 11, 1914 – February 5, 1988) was an American mathematician known for her work in applied mathematics, statistics, computer programming, and her research on the Laplace transform. [1] She was the first woman to be elected president of the Mathematics Association of America. [2]

  9. Category:Laplace transforms - Wikipedia

    en.wikipedia.org/wiki/Category:Laplace_transforms

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