A common framework for some techniques in Applied mathematics

2014/06/17 by Bilal Chanane, Chanane, Bilal
Mathematics · #34L10 #42A16 #42A38 #42B05 #44A10 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:34L10 #msc:42A16 #msc:42A38 #msc:42B05 #msc:44A10

paper · pdf · doi:10.48550/arxiv.1406.4478

8 pages

arxiv created 2014/06/17 · arxiv updated 2014/06/18

Abstract

The objective in this paper is to demonstrate that four of the most used techniques in applied mathematics, viz., Fourier series, Fourier transform, Laplace transform and the Fourier-Laplace transform can be introduced using eigenvalue problems for first order differential operators with discrete/continuous spectra.

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