Add to ORKGInternational audienceWe investigate how the regularity of nonharmonic Fourier series is related to the spacing of their frequencies. This is obtained by using a transform which simultane- ously captures the advantages of the Gabor and Wavelet transforms. Applications to the everywhere irregularity of solutions of some PDEs are given. We extend these results to the anisotropic setting in order to derive directional irregularity criteria
on spaces of regular homogeneous distributions on Rn, by which we mean to include the nonisotropic (...
In constructing local Fourier bases and in solving differential equations with nonperiodic solutions...
To study the regularity of functions, many functional spaces have been introduced during the 20th ce...
AbstractWe investigate how the regularity of nonharmonic Fourier series is related to the spacing of...
Summary. By the use of two examples, we discuss the techniques of Fourier analysis in the study of p...
By the use of two examples, we discuss the techniques of Fourier analysis in the study of problems i...
Fourier analysis has many applications in various science and technology. In most problem researcher...
In this paper, we introduce a notion of weak pointwise Hölder regularity, starting from the definit...
We will show how to analyse the local regularity of functions with the help of the wavelet transform...
Partial Differential Equation is one of the major influential and useful subjects in Mathematical Sc...
AbstractWe give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline...
AbstractLet g∈Lp(T), 1<p<∞. We show that the set of points where the Fourier partial sums Sng(x) div...
Não disponívelOur main aim in this work is to study the regularity of the periodic solutions of diff...
We treat a number of topics related to wavelets and the description of local regularity properties o...
arXiv:1210.1944 [math.FA]International audienceGlobal and local regularity of functions in anisotrop...
on spaces of regular homogeneous distributions on Rn, by which we mean to include the nonisotropic (...
In constructing local Fourier bases and in solving differential equations with nonperiodic solutions...
To study the regularity of functions, many functional spaces have been introduced during the 20th ce...
AbstractWe investigate how the regularity of nonharmonic Fourier series is related to the spacing of...
Summary. By the use of two examples, we discuss the techniques of Fourier analysis in the study of p...
By the use of two examples, we discuss the techniques of Fourier analysis in the study of problems i...
Fourier analysis has many applications in various science and technology. In most problem researcher...
In this paper, we introduce a notion of weak pointwise Hölder regularity, starting from the definit...
We will show how to analyse the local regularity of functions with the help of the wavelet transform...
Partial Differential Equation is one of the major influential and useful subjects in Mathematical Sc...
AbstractWe give criteria of pointwise regularity for expansions on Haar or Schauder basis (or spline...
AbstractLet g∈Lp(T), 1<p<∞. We show that the set of points where the Fourier partial sums Sng(x) div...
Não disponívelOur main aim in this work is to study the regularity of the periodic solutions of diff...
We treat a number of topics related to wavelets and the description of local regularity properties o...
arXiv:1210.1944 [math.FA]International audienceGlobal and local regularity of functions in anisotrop...
on spaces of regular homogeneous distributions on Rn, by which we mean to include the nonisotropic (...
In constructing local Fourier bases and in solving differential equations with nonperiodic solutions...
To study the regularity of functions, many functional spaces have been introduced during the 20th ce...