In this paper we prove the Convolution Theorem for the Fourier Integral transform over a
subset of bounded variation functions which vanish at infinity. This subset is dense in L2 (R) …

We generalize the classic Fourier transform operator F p by using the Henstock–Kurzweil
integral theory. It is shown that the operator equals the HK-Fourier transform on a dense …

The main outcome of this work is that we will extend the classical Fourier transform to the
fuzzy Fourier transform, which is based on Henstock-Kurzweil integrals on infinite interval …

The paper is concerned with integrability of the Fourier sine transform function when f∈ BV0
(ℝ), where BV0 (ℝ) is the space of bounded variation functions vanishing at infinity. It is …

In this paper, we give sufficient conditions for the existence and uniqueness of the solution of
Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving …

Henstock-Kurzweil integral transforms and the Riemann-Lebesgue lemma Page 90 Chapter 4
Henstock-Kurzweil Integral Transforms and the Riemann-Lebesgue Lemma Francisco J …

Henstock-Orlicz spaces were generally introduced by Hazarika and Kalita in 2021. In
general, a function is Lebesgue integral if only if that function and its modulus are Henstock …

In this paper, we give sufficient conditions for the existence and uniqueness of the solution of
Sturm–Liouville equations subject to Dirichlet boundary value conditions and involving …