Title

The Laplace Transform on Isolated Time Scales

Editor(s)

Demkowicz, Leszek

Abstract

Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classical theorem of Titchmarsh for the usual continuous convolution.

Department(s)

Mathematics and Statistics

Keywords and Phrases

isolated time scales; Laplace transform; Convolution; Shift; inverse transform

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Elsevier, All rights reserved.

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