Online first articles
Articles are posted here individually soon after proof is returned from
authors, before the corresponding journal issue is completed. All
articles are in their final form, including issue number and pagination.
For recently accepted articles, see Articles in press.
Vol. 62, no. 1 (2021)
Orthogonality of the Dickson
polynomials of the $(k+1)$th kind.
Diego Dominici
We study the Dickson polynomials of the $(k+1)$th kind over the field of
complex numbers. We show that they are a family of corecursive orthogonal
polynomials with respect to a quasidefinite moment functional $L_{k}$. We
find an integral representation for $L_{k}$ and compute explicit expressions
for all of its moments.

1–30 
Timefrequency analysis associated
with the Laguerre wavelet transform.
Hatem Mejjaoli and Khalifa Trimèche
We define the localization operators associated with Laguerre wavelet
transforms. Next, we prove the boundedness and compactness of these operators,
which depend on a symbol and two admissible wavelets on
$L^{p}_{\alpha}(\mathbb{K})$, $1 \leq p \leq \infty$.

31–55 
Uniform
approximation of Muckenhoupt weights on fractals by simple functions.
Marilina Carena and Marisa Toschi
Given an $A_p$Muckenhoupt weight on a fractal obtained as the attractor of an
iterated function system, we construct a sequence of approximating weights,
which are simple functions belonging uniformly to the $A_p$ class on the
approximating spaces.

57–66 
Gotzmann monomials in four variables.
Vittoria Bonanzinga and Shalom Eliahou
It is a widely open problem to determine which monomials in
the $n$variable polynomial ring $K[x_1,\dots,x_n]$ over a field $K$ have the
Gotzmann property, i.e. induce a Borelstable Gotzmann monomial ideal.
Since 2007, only the case $n \le 3$ was known. Here we solve the problem for
the case $n=4$. The solution involves a surprisingly intricate characterization.

67–93 
Signed graphs with totally disconnected star complements.
Zoran Stanić
We are interested in a signed graph $\dot{G}$ which admits a
decomposition into a totally disconnected (i.e., without edges) star
complement and a signed graph $\dot{S}$ induced by the star set. In this study
we derive certain properties of $\dot{G}$; for example, we prove that the
number of (distinct) eigenvalues of $\dot{S}$ does not exceed the number of
those of $\dot{G}$. Some particular cases are also considered.

95–104 
