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    Generalized fourier transforms based on quantum uncertainty principle
    (НТУ "ХПІ", 2017) Tikhonov, V. I.
    In this paper, basic forms of Fourier analysis considered − harmonic series, integrals and discrete transforms with respect to engineering approach. Quantum uncertainty relation introduced for bound time-frequency metrics in harmonic function presentation. Generalized Fourier transforms determined on the basis of unified summation-integration operator. This extends the scope of harmonic analysis application.