This thesis concerns the absolute convergence of the Fourier series of functions belonging to certain Lipschitz classes on totally disconnected groups. The technique used is one of interpolating between certain endpoint results which are proven directly. These results are shown to be best possible and a counterexample in interpolation theory is given.Science, Faculty ofMathematics, Department ofGraduat
stated a result about the interpolation of operations without proof. Recently A. Zygmund [9] has com...
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a ge...
This thesis concerns the absolute convergence of the Fourier series of functions belonging to certai...
Dedicated to Professor Ferenc Schipp on the occasion of his 60 th birthday Abstract. In this paper w...
Abstract. A well-known conjecture in harmonic analysis is that the sequence of partial Fourier sums ...
AbstractWe study the smoothness property of a function f with absolutely convergent Fourier series, ...
The focus of this investigation is pointwise convergence of Fourier series of functions defined on a...
It is shown that, for certain choices of the defining indices, the generalized Lipschitz spaces on V...
AbstractIn this paper we generalize the classical Bernstein theorem concerning the absolute converge...
The goal of this work is to extend the results of [4] and [7]. Both of these works focus on specific...
AbstractIn extending Bernstein's theorem on the absolute convergence of the Fourier series to Vilenk...
This paper is concerned with characterising, in terms of certain properties of their Fourier transfo...
An analogue of a theorem of S.N. Bernstein is developed for certain metric locally compact abelian g...
AbstractIn this paper we study in the context of compact totally disconnected groups the relationshi...
stated a result about the interpolation of operations without proof. Recently A. Zygmund [9] has com...
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a ge...
This thesis concerns the absolute convergence of the Fourier series of functions belonging to certai...
Dedicated to Professor Ferenc Schipp on the occasion of his 60 th birthday Abstract. In this paper w...
Abstract. A well-known conjecture in harmonic analysis is that the sequence of partial Fourier sums ...
AbstractWe study the smoothness property of a function f with absolutely convergent Fourier series, ...
The focus of this investigation is pointwise convergence of Fourier series of functions defined on a...
It is shown that, for certain choices of the defining indices, the generalized Lipschitz spaces on V...
AbstractIn this paper we generalize the classical Bernstein theorem concerning the absolute converge...
The goal of this work is to extend the results of [4] and [7]. Both of these works focus on specific...
AbstractIn extending Bernstein's theorem on the absolute convergence of the Fourier series to Vilenk...
This paper is concerned with characterising, in terms of certain properties of their Fourier transfo...
An analogue of a theorem of S.N. Bernstein is developed for certain metric locally compact abelian g...
AbstractIn this paper we study in the context of compact totally disconnected groups the relationshi...
stated a result about the interpolation of operations without proof. Recently A. Zygmund [9] has com...
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series,...
We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a ge...
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