On the finite Fourier transforms of functions with infinite discontinuities (Q1608180)
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scientific article; zbMATH DE number 1779116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the finite Fourier transforms of functions with infinite discontinuities |
scientific article; zbMATH DE number 1779116 |
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On the finite Fourier transforms of functions with infinite discontinuities (English)
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12 August 2002
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The first part of the paper contains a review of the stability theory of a matrix pencil for discrete linear time-invariant singular control systems. Based on the newly introduced concept of total value of improper integrals, the main part of the paper is an attempt to present a global theory of integral transforms slightly more general than the one corresponding to the Laplace and Fourier transforms. At the end, several examples are given.
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matrix pencil
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discrete linear time-invariant singular control systems
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total value of improper integrals
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integral transforms
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