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.
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Asymptotically sufficient statistics in nonparametric regression experiments with correlated noise.
Asymptotické vzorce Hilbova typu pro ortogonální exponenciální mnohočleny
Asymptotics for extremal polynomials with varying measures.
Asymptotics for orthogonal polynomials off the circle.
Asymptotics of the averages of orthogonal polynomials on two intervals.
Asymptotics of the partition function of a random matrix model
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential. Our approach is based on a deformation of potential and on the use of the underlying integrable structures of the matrix model. The main results include the existence of a full asymptotic expansion in even powers of of the recurrence coefficients of the related orthogonal polynomials for a one-cut regular potential and the double scaling asymptotics of the free...
Asyptotic Behaviour of Multiperiodic Functions G(x) = ... g (x/2...).
Atomic decomposition on Hardy-Sobolev spaces
As a natural extension of Sobolev spaces, we consider Hardy-Sobolev spaces and establish an atomic decomposition theorem, analogous to the atomic decomposition characterization of Hardy spaces. As an application, we deduce several embedding results for Hardy-Sobolev spaces.