Windowed Bessel Fourier transform in quantum calculus and applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-017-0215-y
Abstract: This paper deals firstly with some q-harmonic analysis properties for the q-windowed Bessel Fourier transform related to the q-Bessel function of the third kind as Plancherel formula, inversion formula in $$\mathcal {L}_{q,2,\nu }$$Lq,2,ν. Secondly, we… read more here.
Keywords: fourier transform; windowed bessel; applications windowed; bessel fourier ... See more keywords
Boas-type theorems for the q-Bessel Fourier transform
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DOI: 10.1007/s13324-021-00542-z
Abstract: In this paper, we give necessary and sufficient conditions in terms of $${\mathcal {F}}_{q,\nu }(f)$$ , the q-Bessel Fourier transform of f, to ensure that f belongs either to one of the generalized Lipschitz classes… read more here.
Keywords: bessel fourier; type theorems; boas type; fourier transform ... See more keywords
Fractional-order-Bessel Fourier-invariant optical vortices
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DOI: 10.1016/j.optcom.2021.126974
Abstract: Abstract A new set of vortex rotationally symmetric Bessel beams is investigated, which are Fourier-invariant and have low sidelobes, in contrast to all the other known Bessel beams. Complex amplitudes in the source plane and… read more here.
Keywords: order; bessel fourier; order bessel; fourier invariant ... See more keywords