Approximation of functions possessing derivatives of positive orders
Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations
The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid....
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 to continuous functions in the Hölder metric
Approximations- und Eindeutigkeitssatz für Exponentialsysteme mit komplexen Exponenten.
Approximationsgüte der Ableitungen bei trigonometrischer Interpolation.
Arithmetical functions with periodic zeros
Asymptotic behavior of moment sequences.
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.
Asyptotic Behaviour of Multiperiodic Functions G(x) = ... g (x/2...).
Attenuation Factors in Multivariate Fourier Analysis.
Average decay of Fourier transforms and geometry of convex sets.
Let B be a convex body in R2, with piecewise smooth boundary and let ^χB denote the Fourier transform of its characteristic function. In this paper we determine the admissible decays of the spherical Lp averages of ^χB and we relate our analysis to a problem in the geometry of convex sets. As an application we obtain sharp results on the average number of integer lattice points in large bodies randomly positioned in the plane.
Averages of functions over hypersurfaces in Rn.
Averaging interpolation on sets with multiplicities.
Averaging interpolation on sets with multiplicities. (Short Communication).