Approximation of signals (functions) belonging to the weighted -class by linear operators.
Approximation of translation invariant operators
Approximation on the sphere by weighted Fourier expansions.
Approximation properties of partial sums of Fourier series.
Approximation properties of periodic interpolation by translates of one function
Approximation properties of the partial sums of Fourier series of some almost periodic functions
Approximation properties of wavelets and relations among scaling moments II
A new orthonormality condition for scaling functions is derived. This condition shows a close connection between orthonormality and relations among discrete scaling moments. This new condition in connection with certain approximation properties of scaling functions enables to prove new relations among discrete scaling moments and consequently the same relations for continuous scaling moments.
Approximation to continuous functions in the Hölder metric
Approximations- und Eindeutigkeitssatz für Exponentialsysteme mit komplexen Exponenten.
Approximationsgüte der Ableitungen bei trigonometrischer Interpolation.
Area integral estimates for higher order elliptic equations and systems
Let be an elliptic system of higher order homogeneous partial differential operators. We establish in this article the equivalence in norm between the maximal function and the square function of solutions to in Lipschitz domains. Several applications of this result are discussed.
Arithmetical functions with periodic zeros
Asymptotic behavior of Fourier-Laplace transform
Asymptotic behavior of moment sequences.
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc.
Asymptotic behaviour of Fourier transforms in .
Asymptotic Behaviour of Fourier Transforms in Rn
Asymptotic behaviour of partial sums of Fourier-Legendre series.
Asymptotic expansions of the wavelet transform for large and small values of .
Asymptotic Fourier and Laplace transformations for hyperfunctions
We develop an elementary theory of Fourier and Laplace transformations for exponentially decreasing hyperfunctions. Since any hyperfunction can be extended to an exponentially decreasing hyperfunction, this provides simple notions of asymptotic Fourier and Laplace transformations for hyperfunctions, improving the existing models. This is used to prove criteria for the uniqueness and solvability of the abstract Cauchy problem in Fréchet spaces.