Results 81 to 90 of about 14,196 (97)

A proposal for two-sided Laplace transforms and its application to electronic circuits

Applied Mathematics and Computation, 1999
It is unfortunate that the authors seem unaware of the book by \textit{B. van der Pol} and \textit{H. Bremmer} [Operational calculus based on the two-sided Laplace integral (1950; Zbl 0040.20403)] since it contains extensive theory, numerous applications (especially to electric circuit theory), and a lengthy table of transforms.
I. Matsuzuka, Koji Nagasawa, Akihiro Kitahama   +2 more
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On the equivalence between stable inversion for nonminimum phase systems and reciprocal transfer functions defined by the two-sided Laplace transform

Automatica, 2009
In this paper, the two-sided Laplace transform, a classical but not very common mathematical tool, is revived to express the stable inversion for linear nonminimum phase systems that was recently proposed from the viewpoint of state-space representations.
Takuya Sogo
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Numerical inversion of mellin and two-sided laplace transforms

Journal of Computational Physics, 1978
Menachem Dishon, George H. Weiss
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Two-sided Laplace transform over Cayley-Dickson algebras and its applications

Journal of Mathematical Sciences, 2008
S. V. Lüdkovsky
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Study of a Class of High-Order Equations on $$\boldsymbol{\mathbb{R}}$$ by Two-Sided Laplace Transform

Lobachevskii Journal of Mathematics
V. E. Fedorov, P. S. Shishatskaya, N. M. Skripka   +2 more
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The two-sided Laplace-Kontorovich-Lebedev transform of generalized functions

The authors' investigations surround around the integral transform \[ F(p,q)= \int_{-\infty}^\infty \int_0^\infty e^{-px} \frac{K_{iq}(y)} {\sqrt{y}} f(x,y) dx dy, \tag \(*\) \] which is called the two-sided Laplace-Kontorovich-Lebedev transform because the kernel of \((*)\) is the product of the kernels of the familiar two-sided Laplace \& Kontorovich-
Malgonde, S. P., Bandewar, S. R.
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A Proof of the Riemann Hypothesis Using the Two-Sided Laplace Transform

, 2021
Seong Won
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An inversion formula for the distributional two sided Laplace-Kontorovich-Lebedev transform

Summary: The conventional two sided Laplace-Kontorovich-Lebedev transform to a certain space of generalized functions is provided. The validity of the inversion formula in the distributional sense is established. A structure formula for a class of generalized functions whose two sided Laplace-Kontorovich-Lebedev transform exists is given.
Malgonde, S. P., Randewar, S. R.
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The two-sided Laplace-Dirichlet transformation

Under suitable conditions on f and g the two-sided Laplace-Dirichlet transformation \((L(f| g))(\lambda)=\sum^{\infty}_{k=- \infty}f(k)e^{-\lambda g(k)}\) (\(\lambda\in {\mathbb{C}})\) is defined. Fundamental properties are derived.
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On two-sided Laplace transform and Erdélyi-Kober operators

Summary: The behaviour of the conventional two-sided Laplace transform on a certain space \(F_{p,\mu}\) is discussed. The two-sided Laplace multiplier transform is also defined. Operators \(\delta,T\) and \(T^\alpha\) are defined and extended to Erdélyi-Kober operators \(I^{\eta, \alpha}_m\) and related operators \(K_m^{\eta, \alpha}\) by the help of ...
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