summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We prove that the classical results related to the Riemann-Lebesgue lemma, existence and continuity are true in appropriate subspaces
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In...
New index transforms, involving the real part of the modified Bessel function of the first kind as t...
summary:Results on integration by parts and integration by substitution for the variational integral...
AbstractBy the application of continuous wavelet transforms (or windowed Fourier transform) and empl...
We study the Nemytskii operators u o |u| and umapsto u^\ub1 in fractional Sobolev spaces H^s(R^n), ...
AbstractThe goal of this article is to introduce an analogue of the Paley–Wiener space of bandlimite...
summary:If $f$ is a Henstock-Kurzweil integrable function on the real line, the Alexiewicz norm of $...
In this paper we study beta operators of second kind recently introduced by Prof. D. D. Stancu. We ...
The Laguerre polynomials appear naturally in many branches of pure and applied mathematics and mathe...
AbstractFor functions f∈L1(R)∩C(R) with Fourier transforms fˆ in L1(R) we give necessary and suffici...
We generalize some results on the degree of approximation of continuous functions by means of Fourie...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In...
New index transforms, involving the real part of the modified Bessel function of the first kind as t...
summary:Results on integration by parts and integration by substitution for the variational integral...
AbstractBy the application of continuous wavelet transforms (or windowed Fourier transform) and empl...
We study the Nemytskii operators u o |u| and umapsto u^\ub1 in fractional Sobolev spaces H^s(R^n), ...
AbstractThe goal of this article is to introduce an analogue of the Paley–Wiener space of bandlimite...
summary:If $f$ is a Henstock-Kurzweil integrable function on the real line, the Alexiewicz norm of $...
In this paper we study beta operators of second kind recently introduced by Prof. D. D. Stancu. We ...
The Laguerre polynomials appear naturally in many branches of pure and applied mathematics and mathe...
AbstractFor functions f∈L1(R)∩C(R) with Fourier transforms fˆ in L1(R) we give necessary and suffici...
We generalize some results on the degree of approximation of continuous functions by means of Fourie...
In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit ...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...
AbstractWe find the condition on a bounded function f under which the Walsh–Fourier series of f conv...
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