AbstractNecessary and sufficient conditions are given for a Banach-space-valued function f to be the Laplace–Stieltjes transform of a function of bounded variation. These conditions are used to obtain generation theorems for both absolutely continuous integrated semigroups and Abel summable semigroups
- semigroup associated with singular Laplace- Bessel differential operator nnn n k k B xxxx 2
We show that the abscissa of convergence of the Laplace transform of an exponentially bounded functi...
ABSTRACT. In this note we present some results concerning the asymptotic behavior of the solutions o...
AbstractNecessary and sufficient conditions are given for a Banach-space-valued function f to be the...
ABSTRACT. Suppose A is a lineax operator (not necessaxily densely defined) on a Banach space. We sho...
The paper extends some of the basic results of classical Laplace transform theory to the Laplace tra...
This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a ge...
This paper provides sharp lower estimates near the origin for the functional calculus F ...
We characterize closed linear operators A, on a Banach space, for which the corresponding abstract C...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin s...
Let f : ℝ+ → ℂ be an exponentially bounded, measurable function whose Laplace transform has a bounde...
AbstractWe investigate the relationship between abstract linear evolution equations of heat, wave, a...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin ...
If \(A\) generates a bounded cosine function on a Banach space \(X\) then the negative square root \...
We construct a functional calculus for generators of one-parameter bounded analytic semigroups of op...
- semigroup associated with singular Laplace- Bessel differential operator nnn n k k B xxxx 2
We show that the abscissa of convergence of the Laplace transform of an exponentially bounded functi...
ABSTRACT. In this note we present some results concerning the asymptotic behavior of the solutions o...
AbstractNecessary and sufficient conditions are given for a Banach-space-valued function f to be the...
ABSTRACT. Suppose A is a lineax operator (not necessaxily densely defined) on a Banach space. We sho...
The paper extends some of the basic results of classical Laplace transform theory to the Laplace tra...
This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a ge...
This paper provides sharp lower estimates near the origin for the functional calculus F ...
We characterize closed linear operators A, on a Banach space, for which the corresponding abstract C...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin s...
Let f : ℝ+ → ℂ be an exponentially bounded, measurable function whose Laplace transform has a bounde...
AbstractWe investigate the relationship between abstract linear evolution equations of heat, wave, a...
The purpose of this paper is to show that the natural setting for various Abel and Euler-Maclaurin ...
If \(A\) generates a bounded cosine function on a Banach space \(X\) then the negative square root \...
We construct a functional calculus for generators of one-parameter bounded analytic semigroups of op...
- semigroup associated with singular Laplace- Bessel differential operator nnn n k k B xxxx 2
We show that the abscissa of convergence of the Laplace transform of an exponentially bounded functi...
ABSTRACT. In this note we present some results concerning the asymptotic behavior of the solutions o...
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