The Laplace Transform

Ram P. Kanwal
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Ram P. Kanwal: The Pennsylvania State University, Department of Mathematics

Chapter Chapter 8 in Generalized Functions Theory and Technique, 1998, pp 208-218 from Springer

Abstract: Abstract The main applications of the Laplace transform are directed toward problems in which the time t is the independent variable. We shall therefore use this variable in this chapter. Let f(t) be a complex-valued function of the real variable t such that f(t)e−ct is abolutely integrable over 0 c,$$ where s = σ + iω. The Laplace transform defined by (1) has the following basic properties.

Keywords: Laplace Transform; Heaviside Function; Main Application; Classical Text; Regular Distribution (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4684-0035-9_8

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