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- W4287998580 abstract "We discuss some of the mathematical properties of the fractional derivative defined by means of Fourier transforms. We first consider its action on the set of test functions $Sc(mathbb R)$, and then we extend it to its dual set, $Sc'(mathbb R)$, the set of tempered distributions, provided they satisfy some mild conditions. We discuss some examples, and we show how our definition can be used in a quantum mechanical context." @default.
- W4287998580 created "2022-07-26" @default.
- W4287998580 creator A5043441302 @default.
- W4287998580 date "2019-12-04" @default.
- W4287998580 modified "2023-09-26" @default.
- W4287998580 title "Fourier transforms, fractional derivatives, and a little bit of quantum mechanics" @default.
- W4287998580 doi "https://doi.org/10.48550/arxiv.1912.01836" @default.
- W4287998580 hasPublicationYear "2019" @default.
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