R. Szwarc

most citedBounds on Tur{á}n determinants

1 citations · 1 across the 7 of their papers we have counts for

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math.FA2007

The ratio and generating function of cogrowth coefficients of finitely generated groups

Ryszard Szwarc

Let G be a group generated by $r$ elements $g_{1}, g_{2}, ..., g_{r} .$ Among the reduced words in $g_{1}, g_{2}, ..., g_{r}$ of length $n$ some, say $γ_{n},$ represent the identity element of the gr…

math.FA2007

Weak type radial convolution operators on free group

T. Pytlik, R. Szwarc

Radial convolution operators on free groups with nonnegative kernel of weak type $(2, 2)$ and of restricted weak type $(2, 2)$ are characterized. Estimates of weak type $(p, p)$ are o…

math.FA2005

Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel

Josef Obermaier, Ryszard Szwarc

For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showi…

math.FA2005

Kaczmarz algorithm in Hilbert space and tight frames

Ryszard Szwarc

We prove that any tight frame in Hilbert space can be obtained by the Kaczmarz algorithm. An explicit way of constructing this correspondence is given. The uniqueness of the corres…