Applied mathematics meets signal processing.
Approximate properties of the de la Vallée Poussin means for the discrete Fourier-Jacobi sums.
Approximate solutions of equations defined by complex spherical multiplier operators.
Approximation by double Walsh polynomials.
Approximation by weighted means of Walsh-Fourier series.
Approximation d'une fonction définie sur une sphère dans une base de fonctions sphériques de Legendre
Approximation in L... Sobolev Spaces on the 2-Sphere by Quasi-Interpolation.
Approximation of Gaussian by scaling functions and biorthogonal scaling polynomials.
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.
Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc.
Asymptotic behaviour of partial sums of Fourier-Legendre series.
Asymptotic expansions of the wavelet transform for large and small values of .
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...).
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...