Methods of Padè approximation are used to analyse a multivariate
Markov transform which has been recently introduced by the authors.
The first main result is a characterization of the rationality of the
Markov transform ...
Polyharmonic functions f of in nite order and type on annular regions are
systematically studied. The rst main result states that the Fourier-Laplace coefficients
fk;l (r) of a polyharmonic function f of in nite order ...
The present paper has a twofold contribution: first, we intro-
duce a new concept of Hardy spaces on a multidimensional complexified
annular domain which is closely related to the annulus of the Klein-Di
rac
quadric ...
Our main result states that two signed measures μ and ν with bounded
support contained in the zero set of a polynomial P(χ) are equal if they coincide on the
subspace of all polynomials of polyharmonic degree NP where ...
The positivity preserving property for the biharmonic operator with Dirichlet boundary condition is investigated. We discuss here the case where the domain is an ellipse (that may degenerate to a strip) and the data is ...
We study the dynamics of a spherical rigid body that rocks and rolls on a plane
under the effect of gravity. The distribution of mass is non-uniform and the
centre of mass does not coincide with the geometric centre. The ...
Applicants to degree courses in Irish colleges and universities rank up to ten degree courses from a list of over ﬁve hundred. These data provide a wealth of
information concerning applicant degree choices. A Dirichlet ...
Background:
Data from metabolomic studies are typically complex and high-dimensional. Principal component analysis (PCA) is currently the most widely used statistical technique for analyzing metabolomic data. However, ...
In 1976 Procesi and Schacher developed an Artin–Schreier type theory for central simple algebras with involution and conjectured that in such an algebra a totally positive element is always a sum of hermitian squares. In ...
In this paper a positive answer is given to the following question of W.K.
Hayman: if a polyharmonic entire function of order k vanishes on k distinct ellipsoids
in the euclidean space Rn then it vanishes everywhere. ...
This paper describes recent results concerning the notions of differentiability and harmonicity with respect to the ne topology of classical potential theory.
Seven adaptive approaches to post-processing wind speed forecasts are discussed and compared. 48-hour forecasts are run at horizontal resolutions of 7 km and 3 km for a domain centred over Ireland. Forecast wind speeds ...
We investigate non-stationary orthogonal wavelets based on a non-stationary
interpolatory subdivision scheme reproducing a given set of exponentials with real-valued
parameters. The construction is analogous to the ...
The reproducing kernel of the space of all homogeneous polynomi-
als of degree
k
and polyharmonic order
m
is computed explicitly, solving a
question of A. Fryant and M.K. Vemuri.
Fisher's linear discriminant analysis is one of the most commonly used and studied classification methods in chemometrics. The method finds a projection of multivariate data into a lower dimensional space so that the groups ...
A joint model for annotation bias and document classification is presented
in the context of media sentiment analysis. We consider an Irish online media data
set comprising online news articles with user annotations of ...
A joint model for annotation bias and document classification is presented in the context of media sentiment analysis. We consider an Irish online media data set comprising online news articles with user annotations of ...
This paper characterizes the subsets E of the unit disc D with the property that the supremum of |f| over E equals the supremum over D for all functions f in the Nevanlinna class.
We study the existence and shape preserving properties of a generalized
Bernstein operator
B
n
fixing a strictly positive function
f
0
, and a second function
f
1
such
that
f
1
/f
0
is strictly increasing, ...
We study the existence and non-existence of positive singular solutions of second-order non-divergence type elliptic inequalities of the form $\sum\limits_{i,j = 1}^N {a_{ij} (x)\frac{{\partial ^2 u}} {{\partial x_i \partial ...