In this paper we extend classical Titchmarsh theorems on the Fourier–Helgason transform of Lipschitz functions to the setting of $L^{p}$-space on Damek–Ricci spaces. As consequences, quantitative Riemann–Lebesgue estimates are obtained and an integrability result for the Fourier–Helgason transform is developed extending ideas used by Titchmarsh in the one dimensional setting
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
Abstract. In this paper, we prove a generalization of Titchmarsh’s theorem for the Bessel transform ...
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder–Lipschitz f...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractWe obtain new inequalities for the Fourier transform, both on Euclidean space, and on non-co...
We prove the Paley–Wiener theorem for the Helgason Fourier transform of smooth compactly supported b...
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the di...
The purpose of this paper is to study the Quaternion Fourier transforms of functions that satisfy Li...
The purpose of this paper is to study the Quaternion Fourier transforms of functions that satisfy Li...
In this paper, we prove the generalization of Titchmarshs theoremfor the Cherednik-Opdam transform f...
Mapping properties of the Fourier transform between weighted Lebesgue and Lorentz spaces are studied...
AbstractFor a 2π-periodic function f ϵ Lp[0, 2π] (1 ⩽ p ⩽ 2) there exists A(p) > 0 such that \̂tf∗(n...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
Abstract. In this paper, we prove a generalization of Titchmarsh’s theorem for the Bessel transform ...
In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder–Lipschitz f...
We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[super...
AbstractWe obtain new inequalities for the Fourier transform, both on Euclidean space, and on non-co...
We prove the Paley–Wiener theorem for the Helgason Fourier transform of smooth compactly supported b...
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the di...
The purpose of this paper is to study the Quaternion Fourier transforms of functions that satisfy Li...
The purpose of this paper is to study the Quaternion Fourier transforms of functions that satisfy Li...
In this paper, we prove the generalization of Titchmarshs theoremfor the Cherednik-Opdam transform f...
Mapping properties of the Fourier transform between weighted Lebesgue and Lorentz spaces are studied...
AbstractFor a 2π-periodic function f ϵ Lp[0, 2π] (1 ⩽ p ⩽ 2) there exists A(p) > 0 such that \̂tf∗(n...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
ABSTRACT. In [4] we proved some theorems on the Fourier Transforms of functions satisfying condition...
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