The Fourier transform and an inversion formula for Laplace transforms
β Scribed by A. V. Pavlov
- Book ID
- 110150042
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 525 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## Abstract In this paper, we study the inversion formula for recovering a function from its windowed Fourier transform. We give a rigorous proof for an inversion formula which is known in engineering. We show that the integral involved in the formula is convergent almost everywhere on \documentcla
Most methods for the numerical calculation of inverse Laplace transformations f(t) = L -1 [F(s)] have serious limitations concerning the class of functions F(s) that can be inverted or the achievable accuracy. The procedures described in the paper can be used to invert rational as well as irrational