Recursos de colección
Ghressi, A.; Khériji, L.
We show that the Generalized Hermite linear form $\mathcal{H}(\mu)$,
which is symmetric $D$-semiclassical of class one, is the unique
$\mathcal{D}_{\theta}$-Appell classical where $\mathcal{D}_{\theta}$
is the Dunkl operator.
Romaguera, S.; Oltra, S.; Sánchez Pérez, E.A.
The aim of this paper is to study the canonical partial metric
associated to the norm of a normed space, whose related
non-translation-invariant topology can be used to characterize the
convexity properties of the original space. In order to do this,
we define and characterize a new intermediate geometric property
that we call continuous convexity, which appears in a natural way
in the context of the canonical partial metric topology.
Schmidmeier, Markus
Fix a poset $\mathcal P$ and a natural number $n$.
For various commutative local rings $\Lambda$, each of
Loewy length $n$, consider the category
$\textrm{sub}_\Lambda\mathcal P$ of $\Lambda$-linear submodule
representations of $\mathcal P$.
We give a criterion for when the underlying translation quiver
of a connected component of the Auslander-Reiten
quiver of $\sub_\Lambda\mathcal P$ is independent of the choice
of the base ring $\Lambda$.
If $\mathcal P$ is the one-point poset and
$\Lambda=\mathbb Z/p^n$, then $\textrm{sub}_\Lambda\mathcal P$
consists of all pairs $(B;A)$ where $B$ is a finite abelian $p^n$-bounded group
and $A\subset B$ a subgroup.
We can respond to a remark by M.~C.~R. Butler
concerning the first occurence of parametrized
families of such subgroup embeddings.
Baratella, Stefano; Ng, Siu-Ah
We study a
property of extension of partial isometries in a Banach space.
This property is formulated in game-theoretic language. It
is weaker than transitivity, self-dual for reflexive spaces and it is related to a
well-known open problem in functional analysis and to model-theoretic notions from mathematical logic.
Sango, Mamadou
We study the blow-up for the solution of a system of quasilinear hyperbolic
equations involving the $p$-laplacian. We derive a differential inequality
for a function involving some norms of the solution which yields the finite
time blow-up.
Guesmia, Aïssa
La stabilisation des systèmes couplés soumis à un seul feedback
(stabilisation indirecte) a suscité l'intérêt de nombreux auteurs ces dernières années. Les résultats les
plus récents dans cette direction sont ceux obtenus par F. Alabau-Boussouira [1] et F. Alabau-Boussouira, P. Cannarsa
et V. Komornik [2] où des estimations polynomiales (dépendant de la régularité des solutions) ont été
démontrées pour quelques systèmes hyperboliques linéaires faiblement couplés. L'objectif de ce papier est
d'étendre ces résultats au cas de systèmes {\it non linéaires} ou {\it non dissipatifs} et de donner des
applications à la stabilisation indirecte de certains systèmes couplés non dissipatifs.
García-Pacheco, Francisco J.; Seoane-Sepúlveda, Juan B.
In this note we study the geometry of drops in Banach spaces, and we use it to characterize two well
known geometrical properties: rotundity and smoothness.
Bačák, Miroslav; Spurný, Jiří
We construct metrizable simplices $X_1$ and $X_2$ and a homeomorphism $\varphi:\overline{ext X_1}\to\overline{ext
X_2}$ such that $\varphi(ext X_1)=ext X_2$, the space $\mathfrak{A}(X_1)$ of all affine continuous functions on $X_1$ is
complemented in $\mathcal C(X_1)$ and $\mathfrak{A}(X_2)$ is not complemented in any $\mathcal C(K)$ space. This shows that complementability of
the space $\mathfrak{A}(X)$ cannot be determined by topological properties of the couple $(ext X,\overline{ext X})$.
Ghane, H.; Hamed, Z.; Mashayekhy, B.; Mirebrahimi, H.
D. K. Biss (Topology and its Applications 124 (2002) 355-371)
introduced the topological fundamental group and presented some
interesting basic properties of the notion. In this article we
intend to extend the above notion to homotopy groups and try to
prove some similar basic properties of the topological homotopy
groups. We also study more on the topology of the topological
homotopy groups in order to find necessary and sufficient conditions
for which the topology is discrete. Moreover, we show that studying
topological homotopy groups may be more useful than topological
fundamental groups.
Johnson, Norman L.
New constructions of Sperner spaces using `generalized extended André
spreads' are used to construct a wide variety of new subgeometry partitions
of finite projective spaces.
Zahran, Yousef Hashem
The aim of this paper is to develop an improved version of the Multi-Stage (MUSTA) approach to the
construction of
upwind fluxes that avoid the solution of the Riemann Problem (RP) in the conventional manner. We propose to use the
second order TVD flux as a building block in the MUSTA scheme instead of the first order flux used in the original
MUSTA. The numerical solution is advanced by TVD Runge-Kutta method. The new MUSTA scheme improves upon the original
MUSTA and TVD schemes in terms of better convergence, higher overall accuracy, better resolution of discontinuities and
find its justification when solving very complex systems for...
Choi, Younggi; Hirato, Yoshihiro; Mimura, Mamoru
We estimate the number of homotopy types of the gauge groups of $Sp(2)$ and $SU(3)$.
Iglesias, M.; Vidal, T.C.; Verschoren, A.
The main purpose of this note is to present an
alternative, more transparent treatment of the results obtained in
[4], which link the epistasis of a function to
its Walsh coefficients and its order.
Jun, Kil-Woung; Roh, Jaiok
It is well-known that the concept of Hyers-Ulam-Rassias stability
originated by Th. M. Rassias (Proc. Amer. Math. Soc. 72(1978),
297-300) and the concept of Ulam-Gavruta-Rassias stability by J.
M. Rassias (J. Funct. Anal. U.S.A. 46(1982), 126-130; Bull. Sc.
Math. 108 (1984), 445-446; J. Approx. Th. 57 (1989), 268-273) and P.
Gavruta (``An answer to a question of John M. Rassias concerning
the stability of Cauchy equation", in: Advances in Equations and
Inequalities, in: Hadronic Math. Ser. (1999), 67-71). In this
paper we give results concerning these two stabilities.
Güney, H. Özlem; Owa, Shigeyoshi
In the present paper, we obtain an interesting subordination
relation for a family of analytic functions of complex order by
using subordination theorem.
Kubrusly, Carlos S.
This is a brief introduction to Fredholm theory for Hilbert space operators
organized into ten sections. The classical partition of the spectrum into
point, residual, and continuous spectra is reviewed in Section 1. Fredholm
operators are introduced in Section 2, and Fredholm index in Section 3.
The essential spectrum is considered in Section 4, the spectral picture is
presented in Section 5, and Riesz points are discussed in Section 6. Weyl
spectrum is the subject of Section 7 and, after bringing some basic results
on ascent and descent in Section 8, Browder spectrum is investigated in
Section 9. Finally, Weyl and Browder theorems close this expository paper
in Section...
Faĭziev, Valeriĭ A.; Sahoo, Prasanna K.
In this paper the stability
of the quadratic equation is considered on arbitrary groups.
Since the quadratic equation is stable on Abelian groups, this paper examines the
stability of the quadratic equation on noncommutative groups.
It is shown that the quadratic equation is stable on $n$-Abelian groups
when $n$ is a positive integer. The stability of the quadratic equation is also
established on the noncommutative group $T(2, K)$,
where $K$ is an arbitrary commutative field.
It is proved that every group can be embedded into a group in which the
quadratic equation is stable.
Penne, Rudi
We address the computation of the line that minimizes the sum
of the least squared distances with respect to a given set of
$n$ points in 3-space. This problem has a well known satisfying
solution by means of PCA. We offer an alternative interpretation
for this optimal line as the center of the screw motion that
minimizes the sum of squared velocities in the given points.
The numerical translation of this viewpoint is
a generalized eigenproblem, where the
total residue of the optimal line appears as the smallest
generalized eigenvalue.
Janczewska, Joanna
In this work we study bifurcation of forms of equilibrium of a thin circular elastic
plate lying on an elastic base under the action of a compressive force. The forms of equilibrium may be found as solutions of the von
Kármán equations with two real positive parameters defined on the unit
disk in $\mathbb R^2$ centered at the origin. These equations are equivalent to
an operator equation $F(x,p)=0$ in the real Hölder spaces with
a nonlinear $S^{1}$-equivariant Fredholm map of index $0$.
For the existence of bifurcation at a point $(0,p)$ it is necessary
that $\dim\operatorname{Ker}F_{x}^{\prime}(0,p)>0$. The space
$\operatorname{Ker}F_{x}^{\prime}(0,p)$ can be at most
four-dimensional.
We apply the Crandall-Rabinowitz theorem to...
Brackx, F.; De Schepper, H.; De Schepper, N.; Sommen, F.
Clifford analysis is a higher dimensional function theory offering a refinement of classical
harmonic analysis, which has proven to be an appropriate framework for developing a higher dimensional continuous
wavelet transform theory. In this setting a very specific construction of the wavelets has been established,
encompassing all dimensions at once as opposed to the usual tensorial approaches, and being based on generalizations to
higher dimension of classical orthogonal polynomials on the real line, such as the radial Clifford--Hermite polynomials,
leading to Clifford--Hermite wavelets. More recently, Hermitian Clifford analysis has emerged as a new and successful
branch of Clifford analysis, offering yet a refinement of the orthogonal...