FINITE AND LOCAL LAPLACE TRANSFORMS IN BANACH SPACES

Local Theory of Banach Spaces ∗

Week 1 (9/7/2010) . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Basic Results and Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Existence of Haar Measure . . . . . . . . . . . . . . . . . . . . . . . . . ...

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

A note on the comparison between Laplace and Sumudu transforms

A Finite-Interval Uniqueness Theorem for Bilateral Laplace Transforms

Two or more bilateral Laplace transforms with a complex argument “s” may be equal in a finite vertical interval when, in fact, the transforms correspond to different functions. In this article, we prove that the existence of a bilateral Laplace transform in any finite horizontal interval uniquely determines the corresponding function. The result appears to be new as we could not find it in the ...

The approximation of Laplace-Stieltjes transforms with finite order

In this paper, we study the irregular growth of an entire function defined by the Laplace-Stieltjes transform of finite order convergent in the whole complex plane and obtain some results about λ-lower type. In addition, we also investigate the problem on the error in approximating entire functions defined by the Laplace-Stieltjes transforms. Some results about the irregular growth, the error, ...