2 papers
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…