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Existence and computation of Riemann-Stieltjes integrals through Riemann integrals
Riemann-Stieltjes integrals Riemann integrals Classical Analysis and ODEs
2011/9/1
Abstract: We study the existence of Riemann-Stieltjes integrals of bounded functions against a given integrator. We are also concerned with the possibility of computing the resulting integrals by mean...
Simply-laced isomonodromy systems
Simply-laced isomonodromy systems Classical Analysis and ODEs Symplectic Geometry
2011/8/25
Abstract: A new class of isomonodromy equations will be introduced and shown to admit Kac-Moody Weyl group symmetries. This puts into a general context some results of Okamoto on the 4th, 5th and 6th ...
在单位球Sobolev空间中, 研究Dirichlet空间直交补上多重调和符号的对偶Toeplitz算子, 刻画了它的交换性, 并且给出了两个多重调和符号对偶Toeplitz算子乘积为对偶Toeplitz算子的充分必要条件。
Let g be a finite-dimensional Lie algebra andM be a g-module. The Fernando-Kac subalgebra of g associated to M is the subset g[M] ⊂ g of all elements g ∈ g which act locally finitely on M.
Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model
Functional inequalities thick tails asymptotics
2010/11/26
We investigate the long time behavior of the critical mass Patlak-Keller-Segel equation. This equation has a one parameter family of steady-state solutions ̺, λ > 0, with thick tails whose secon...
In some previous papers we have defined and studied a ’magnetic’ pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we...
We consider three problems connected with coinvariant sub-spaces of the backward shift operator in Hardy spaces Hp:– properties of truncated Toeplitz operators;– Carleson-type embedding theorems for t...
Cone Normed Linear Spaces
Cone norm cone convergence cone continuous cone com-plete cone compact
2010/12/3
In this paper, we introduce cone normed linear space,study the cone convergence with respect to cone norm. Fi-nally, we prove the completeness of a finite dimensional cone normed linear space.
A complete locally convex space of countable dimension admitting an operator with no invariant subspaces
Cyclic operators invariant subspaces topological vector spaces
2010/12/6
We construct a complete locally convex topological vector space X of countable algebraic dimension and a continuous linear operator T : X → X such that T has no non-trivial closed invariant subspaces.
Continuity of Pseudo-Differential Operator $h_{\mu,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces
Hankel transformation Hankel translation Hankel convolu-tion Pseudo-differential operator
2010/12/9
The Pseudo-Differential Operator (p.d.o.) hμ,a associated with the Bessel Operator involving the symbol a(x, y) whose derivatives satisfy certain growth conditions depending on some increasing sequenc...
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
inverse theorem Gowers $U^{s+1}[N]$-norm
2010/12/9
We prove the inverse conjecture for the Gowers Us+1[N]-norm for all s > 3; this is new for s > 3, and the cases s < 3 have also been previously established. More precisely, we establish that if f : [N...
Infinite Bar-Joint Frameworks, Crystals and Operator Theory
nfinite bar-joint framework vanishing flexibility rigidity operator
2010/12/9
A theory of flexibility and rigidity is developed for general infinite bar-joint frameworks (G, p). Determinations of nondeformability through vanishing flexibility are obtained as well
as sufficient...
A q-analogue of Catalan Hankel determinants
Catalan numbers determinants Dyck paths orthogonal polynomials continued fractions
2010/12/3
In this article we shall survey the various methods of evaluating Hankel determinants and
as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers.
Here we consider...
Abstract ideals of absolutely summing multilinear operators
Abstract ideals absolutely multilinear operators
2010/12/13
This paper has a twofold purpose: to present an overview of the different multi-ideals that generalize the concept of absolutely summing operators and to sketch the beginning of a research project rel...