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Signal, Image and Video Processing, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Acta Applicandae Mathematica, 1997
The author shows effective applications of the one-dimensional and the two-dimensional Laplace transforms to the solution of the wave equation and provides a study of homogeneous and nonhomogeneous waves. The behavior of these waves and their Laplace transforms under the Lorenz group are discussed.
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The author shows effective applications of the one-dimensional and the two-dimensional Laplace transforms to the solution of the wave equation and provides a study of homogeneous and nonhomogeneous waves. The behavior of these waves and their Laplace transforms under the Lorenz group are discussed.
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On the Zeros of Laplace Transforms
Mathematical Notes, 2004The starting point is Polya's theorem about the location of zeros of \[ F(z)=\int^1_0e^{zt}f(t)dt \] in the left half plane \(Re(z)\leq 0\), provided \(f\) is integrable, positive, and non-decreasing in \((0,1)\). First, the additional condition that \(f\) be logarithmically convex in a neighborhood of 1 is imposed and the form of the curvilinear half ...
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The Representation of Functions as Laplace and Laplace–Stieltjes Transforms
SIAM Journal on Mathematical Analysis, 1986A necessary and sufficient condition for a function to be represented as a Laplace or Laplace-Stieltjes transform are discussed by considering the behaviour of the function on a single vertical line in the form of six theorems. The author also discusses conditions which must be satisfied by the various kernels for them to be used in the theorems. Three
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2014
The Laplace transform is an integral transform widely used in applied mathematics for the determination of the solution of differential equations, difference equations, and functional equations. The idea is to use an integral to transform a differential equation into an algebraic equation, and after solving this algebraic equation, we get the desired ...
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The Laplace transform is an integral transform widely used in applied mathematics for the determination of the solution of differential equations, difference equations, and functional equations. The idea is to use an integral to transform a differential equation into an algebraic equation, and after solving this algebraic equation, we get the desired ...
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Nature, 1957
Handbuch der Laplace-Transformation Von Prof. Gustav Doetsch. Band 2: Anwendungen der Laplace-Transformation. 1 Abteilung. (Lehrbucher und Monographien aus dem Gebiete der Exakten Wissenschaften. Mathematische Reihe, Band 15.) Pp. 436. (Basel und Stuttgart: Birkhauser Verlag, 1955.) 56.15 Swiss francs; 56.15 D. marks.
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Handbuch der Laplace-Transformation Von Prof. Gustav Doetsch. Band 2: Anwendungen der Laplace-Transformation. 1 Abteilung. (Lehrbucher und Monographien aus dem Gebiete der Exakten Wissenschaften. Mathematische Reihe, Band 15.) Pp. 436. (Basel und Stuttgart: Birkhauser Verlag, 1955.) 56.15 Swiss francs; 56.15 D. marks.
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2001
As a discipline, mathematics encompasses a vast range of subjects. In pure mathematics an important concept is the idea of an axiomatic system whereby axioms are proposed and theorems are proved by invoking these axioms logically.
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As a discipline, mathematics encompasses a vast range of subjects. In pure mathematics an important concept is the idea of an axiomatic system whereby axioms are proposed and theorems are proved by invoking these axioms logically.
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On Generalized Laplace Transformations
The Annals of Mathematics, 1947Bers, Lipman, Gelbart, Abe
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