Laplace ultradistributions on a half line and a strong quasi-analyticity principle

Grzegorz Łysik

Displaying similar documents to “Laplace ultradistributions on a half line and a strong quasi-analyticity principle”

A Phragmén-Lindelöf type quasi-analyticity principle

Grzegorz Łysik (1997)

Studia Mathematica

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Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.

An analytic solution for a Vasicek interest rate convertible bond model.

Deakin, A.S., Davison, Matt (2010)

Journal of Applied Mathematics

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Laplace $L_{2}$ -transform of distributions

Jan Kučera (1969)

Czechoslovak Mathematical Journal

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Laplace transform representations and Paley-Wiener theorems for functions on vertical strips.

Harper, Zen (2010)

Documenta Mathematica

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Abelian theorems for Whittaker transforms.

Carmichael, Richard D., Pathak, R.S. (1987)

International Journal of Mathematics and Mathematical Sciences

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The $ℒ_{ν}^{(ρ)}$ -transformation on McBride’s spaces of generalized functions

Domingo Israel Cruz-Báez, Josemar Rodríguez (1998)

Commentationes Mathematicae Universitatis Carolinae

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An integral transform denoted by $ℒ_{ν}^{(ρ)}$ that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.

On the Kuramoto-Sivashinsky equation in a disk

Vladimir Varlamov (2000)

Annales Polonici Mathematici

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We consider the first initial-boundary value problem for the 2-D Kuramoto-Sivashinsky equation in a unit disk with homogeneous boundary conditions, periodicity conditions in the angle, and small initial data. Apart from proving the existence and uniqueness of a global in time solution, we construct it in the form of a series in a small parameter present in the initial conditions. In the stable case we also obtain the uniform in space long-time asymptotic expansion of the constructed...

The Taylor transformation of analytic functionals with non-bounded carrier

Grzegorz Łysik (1994)

Studia Mathematica

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Let L be a closed convex subset of some proper cone in ℂ. The image of the space of analytic functionals Q'(L) with non-bounded carrier in L under the Taylor transformation as well as the representation of analytic functionals from Q'(L) as the boundary values of holomorphic functions outside L are given. Multipliers and operators in Q'(L) are described.