Yazar "Ünalmış Uzun, Banu" için FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics listeleme
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Fractional Hankel and Bessel wavelet transforms of almost periodic signals
Ünalmış Uzun, Banu (Springer International Publishing, 2015-12-09)The main objective of this paper is to study the Hankel, fractional Hankel, and Bessel wavelet transforms using the Parseval relation. We construct a generalized frame and write new relations and inequalities using almost ... -
Generalized frames in the space of strong limit power functions
Ünalmış Uzun, Banu (Springer Basel AG, 2013-02)By using the existence of a larger orthonormal basis, the space of strong limit power functions is extended. We use the windowed Fourier transform and wavelet transform to analyze strong limit power signals and we construct ... -
Inverse solution of thermoacoustic wave equation for cylindrical layered media
Elmas, Demet; Ünalmış Uzun, Banu (Frontiers Media S.A., 2022-03-30)Thermoacoustic imaging is a crossbred approach taking advantages of electromagnetic and ultrasound disciplines, together. A significant number of current medical imaging strategies are based on reconstruction of source ... -
An inverse source problem connected with thermoacoustic imaging in multi-layer planar medium
Yücel, Hazel; Ünalmış Uzun, Banu (Springer, 2019-02-20)We derived analytical forward and inverse solution of thermoacoustic wave equation for nonhomogeneous medium. We modelled the nonhomogeneous medium as a multi-layer planar medium and defined initial conditions, continuity ... -
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
Ünalmış Uzun, Banu (Springer International Publishing AG, 2017-06-02)We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame ... -
On the fractional sums of some special functions
Ünalmış Uzun, Banu (Springer Basel AG, 2019-03)We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the ...