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.
Attenuation Factors in Multivariate Fourier Analysis.
Au-delà des opérateurs de Calderón-Zygmund : avancées récentes sur la théorie
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.
Averages over homogeneous hypersurfaces in R3.
Averages over hypersurfaces. II.
Averaging interpolation on sets with multiplicities.
Averaging interpolation on sets with multiplicities. (Short Communication).
Avoiding look-ahead in the Lanczos method and Padé approximation
In the non-normal case, it is possible to use various look-ahead strategies for computing the elements of a family of regular orthogonal polynomials. These strategies consist in jumping over non-existing and singular orthogonal polynomials by solving triangular linear systems. We show how to avoid them by using a new method called ALA (Avoiding Look-Ahead), for which we give three principal implementations. The application of ALA to Padé approximation, extrapolation methods and Lanczos method for...
Axiomatic theory of divergent series and cohomological equations
A general theory of summation of divergent series based on the Hardy-Kolmogorov axioms is developed. A class of functional series is investigated by means of ergodic theory. The results are formulated in terms of solvability of some cohomological equations, all solutions to which are nonmeasurable. In particular, this realizes a construction of a nonmeasurable function as first conjectured by Kolmogorov.