On a convolution type integral I
On a fundamental theorem of the Laplace transform theory
On a generalization of the Laplace transform
On an integral transform by R. S. Phillips
The properties of a transformation by R.S. Phillips, which transforms an exponentially bounded C 0-semigroup of operators T(t) to a Yosida approximation depending on h, are studied. The set of exponentially bounded, continuous functions f: [0, ∞[→ E with values in a sequentially complete L c-embedded space E is closed under the transformation. It is shown that for certain complex h and k, and that , where the limit is uniform in t on compact subsets of the positive real line. If f is Hölder-continuous...
On an inversion formula of certain Laplace transforms in dissipative wave propagation
Si determina una formula di inversione di alcune trasformate di Laplace che intervengono nell’analisi formale di problemi al contorno relativi ad una classe di mezzi dissipativi. Le espressioni esplicite proposte definiscono funzioni analitiche a decrescenza rapida dotate di numerose proprietà di massimo, utili anche all’analisi di problemi unilaterali.
On generation and propagation of tsunamis in a shallow running ocean.
On Hankel Transform of Generalized Mathieu Series
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].
On integral transforms.
On inversion of Laplace transform. I.
On K-transform.
On Laplace and Hankel Transformations
On q-Laplace Transforms of the q-Bessel Functions
Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.
On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms.
On some Brownian functionals and their applications to moments in the lognormal stochastic volatility model
We find a probabilistic representation of the Laplace transform of some special functional of geometric Brownian motion using squared Bessel and radial Ornstein-Uhlenbeck processes. Knowing the transition density functions of these processes, we obtain closed formulas for certain expectations of the relevant functional. Among other things we compute the Laplace transform of the exponent of the T transforms of Brownian motion with drift used by Donati-Martin, Matsumoto, and Yor in a variety of identities...
On the equivalence of Widder-Miyadera's and Leviatan's representability conditions for the Laplace transform of integrable vector-valued functions
On the integration schemes of retrieving impulse response functions from transfer functions.
On the Laplace transform - I
On the Laplace Transforms of Logconcave Densities
On the Legendre and Laplace transformations
On the post-Widder transform.