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- W4287979843 abstract "In the present article the author extends the Fourier transform to a more general class of functions; First to power-law functions with integer and half-integer exponents then to the widely used quantum statistics function (Fermi-Dirac and Bose-Einstein-distributions). The results are used to derive rather straightforwardly an integral formula. Moreover, generalized Fourier transforms are used to define fractional derivatives of distributions (generalized functions) and Fourier series (periodic functions) as well." @default.
- W4287979843 created "2022-07-26" @default.
- W4287979843 creator A5049636810 @default.
- W4287979843 date "2019-12-25" @default.
- W4287979843 modified "2023-09-26" @default.
- W4287979843 title "Generalized Fourier transforms applied to fractional derivatives and Quantum Statistics Distributions" @default.
- W4287979843 doi "https://doi.org/10.48550/arxiv.1912.11614" @default.
- W4287979843 hasPublicationYear "2019" @default.
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