The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...
Transactions of the American Mathematical Society, Vol. 272, No. 2 (Aug., 1982), pp. 785-802 (18 pages) The technique devised by Wong to derive the asymptotic expansions of multiple Fourier transforms ...
Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...
In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us ...
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