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Math and StatisticsNumerical Mathematics

A Comparison of the Two-Sided Laplace Transform and the Mellin Transform

Authors: Gloria L. Porter; AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH
 
Abstract: The reals with addition and the positive reals with multiplication are isomorphic as groups. From that point of view, the two-sided Laplace transform and the Mellin transform are different representations of the same transform. This allows us to easily derive the properties of the Mellin transform from the properties of the two-sided Laplace transform. The method extends to functions of several variables as well.

Description: Master's thesis
Pages: 56
Report Date: 13 DEC 96
Report Number: A571913

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Keywords relating to this report:
*LAPLACE TRANSFORMATION
COMPARISON
CONVERGENCE
CONVOLUTION INTEGRALS
DERIVATIVES_MATHEMATICS_
GROUPS_MATHEMATICS_
MAPPING_TRANSFORMATIONS_
THESES
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