6 citations · 8 across the 9 of their papers we have counts for
11 papers
Properties of local orthonormal systems, Part III: Variation spaces
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
In [Y.~K.~Hu, K.~A.~Kopotun, X.~M.~Yu, Constr. Approx. 2000], the authors have obtained a characterization of best -term piecewise polynomial approximation spaces as real interp…
Properties of local orthonormal systems, Part II: Geometric characterization of Bernstein inequalities
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Let be a probability space and let be a binary filtration, i.e. exactly one atom of is divided into two atoms of $\m…
Properties of local orthonormal systems, Part I: Unconditionality in
Jacek Gulgowski, Anna Kamont, Markus Passenbrunner
Assume that we are given a filtration on a probability space of the form that each is generated by the partition of one a…
Marcinkiewicz averages of smooth orthogonal projections on sphere
Marcin Bownik, Karol Dziedziul, Anna Kamont
We construct a single smooth orthogonal projection with desired localization whose average under a group action yields the decomposition of the identity operator. For any full rank…
An algebraic characterization of B-splines
Anna Kamont, Markus Passenbrunner
B-splines of order can be viewed as a mapping taking a -tuple of increasing real numbers and giving as a result a certain piecewise polynomial f…
On wavelet polynomials and Weyl multipliers
Anna Kamont, Grigori A. Karagulyan
For the wavelet type orthonormal systems , we establish a new bound \begin{equation} \left\|\max_{1\le m\le n}\left|\sum_{j\in G_m}\langle f,ϕ_j\rangle ϕ_j\right|\right\|_p\le…