Density of quantized approximations

Classical Banach spaces in the general theory (46B25) Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Cites Work

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Quantitative expressions for the connectedness of sets in $\mathbb{R}^n$
Approximation by amplitude and frequency operators
Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line
Best approximation rate of constants by simple partial fractions and Chebyshev alternance
Limits of rational functions
Estimates of the distances to direct lines and rays from the poles of simplest fractions bounded in the norm of $L_p$ on these sets
Coefficient quantization for frames in Banach spaces
Additive subgroups of topological vector spaces
Subgroups of Hilbert spaces
Geometry of Banach spaces. Selected topics
Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
The problem of density on $L^2(G)$
Extremal and approximative properties of simple partial fractions
Approximation by simple fractions
Approximation properties of the most simple fractions
On the extrapolation of analytic functions by sums of the form $\Sigma_k\lambda_k h(\lambda_kz)$
Approximation by sums of the form $\sigma_k\lambda_k h(\lambda_kz)$ in the disk
Approximation to constant functions by electrostatic fields due to electrons and positrons
Density of derivatives of simple partial fractions in Hardy spaces in the half-plane
Example of divergence of a greedy algorithm with respect to an asymmetric dictionary
Approximation by simple partial fractions: universal sets of poles
Density of the semigroup generated by curves through zero in a Banach space
Extremal properties of logarithmic derivatives of polynomials
Least deviation of logarithmic derivatives of algebraic polynomials from zero
Note on a problem of Q. I. Rahman and P. Turán
Density of sums of shifts of a single function in Hardy spaces on the half-plane
On a semigroup problem
Density of sums of shifts of a single vector in sequence spaces
The dilation factor of the Peano-Hilbert curve
Approximation properties of sums of the form $\Sigma _k \lambda _k h (\lambda _k z)$
Asymptotically neutral distributions of electrons and polynomial approximation
Conditionally convergent series in a uniformly smooth Banach space
Polynomials with zeros on a rectifiable Jordan curve
Sequences of analytic functions and their zeros
Chui's conjecture in Bergman spaces
Approximation by simple partial fractions with constraints on the poles. II
Greedy Approximation
On the rate of approximation in the unit disc of -functions by logarithmic derivatives of polynomials with zeros on the boundary
Approximation by simple partial fractions and the Hilbert transform
Approximation by simple partial fractions on the semi-axis
Homotopically non-trivial additive subgroups of Hilbert spaces
Un exemple de sous-groupe additif de l'espace de Hilbert
Approximation by sums of shifts of a single function on the circle
An Approximation of Harmonic Functions in $E^3$ by Potentials of Unit Charges
On a Property of Rational Functions. II
ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES
Approximation by simple partial fractions with constraints on the poles
Approximation by simple partial fractions in unbounded domains
Rational approximations of Lipschitz functions from the Hardy class on the line
Geometric Approximation Theory
Greedy approximation by arbitrary sets
Integer expansion in systems of translates and dilates of a single function
Density of a semigroup in a Banach space
On Approximation in the Bers Spaces
A lower bound for the L_2[-1,1-norm of the logarithmic derivative of polynomials with zeros on the unit circle]
Estimates of derivatives of simplest fractions and other questions
Asymptotically Neutral Families in $E^3 $
A Lower Bound for an Area Integral
Tauberian theorems
Approximation by polynomials with restricted zeros
Multidimensional analogs of theorems about the density of sums of shifts of a single function
A Newman type bound for $L_p[-1,1$-means of the logarithmic derivative of polynomials having all zeros on the unit Circle]

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