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Vertex Operator Algebras Associated to Type G Affine Lie Algebras
Vertex Operator Algebras Associated Type G Affine Lie Algebras
2010/11/22
In this paper, we study representations of the vertex operator algebra $L(k,0)$ at one-third admissible levels $k= -5/3, -4/3, -2/3$ for the affine algebra of type $G_2^{(1)}$. We first determine sin...
Square functions associated to Schrodinger operators
Schr¨odinger operator reverse H¨older class Littlewood-Paley square function
2010/12/14
We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schr¨odinger operators of the form L = − + V , where the
nonnegative pot...
A completely positive map associated with a positive map
completely positive map associated positive map
2010/12/14
We show that each positive map from B(K) to B(H) is a scalar mul-tiple of a map of the form T r − with completely positive. This is used to give necessary and sufficient conditions for maps ...
Co-universal C*-algebras associated to generalised graphs
Higher rank graph co-universal algebra graph algebra Cuntz- Krieger algebra
2010/11/30
We introduce P-graphs, which are generalisations of directed graphs in which paths have a degree in a semigroup P rather than a length in N. We focus on semigroups P arising as part of a quasi-lattice...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
Radon Transform on spheres and generalized Bessel function associated with dihedral groups
Radon Transform spheres generalized Bessel function associated dihedral groups
2010/12/14
Abstract. Motivated by Dunkl operators theory, we consider a generating series involving a modified Bessel function and a Gegenbauer polynomial, that generalizes a known series already conside...
The symplectic Deligne-Mumford stack associated to a stacky polytope
symplectic Deligne-Mumford stack stacky polytope
2010/12/8
We discuss a symplectic counterpart of the theory of stacky fans. First, we define a stacky
polytope and construct the symplectic toric Deligne–Mumford stack associated to it. Then we establish a rel...
Selfdecomposable Laws Associated with Hyperbolic Functins
Hyperbolic characteristic functions class L or SD probability distribution
2010/12/8
t is shown that the hyperbolic functions can be associated with selfdecomposable distributions (in short: SD probability distributions or L´evy class L probability laws). Consequently, they admi...
Backward stochastic differential equations under super linear G-expectation and associated Hamilton-Jacobi-Bellman equations
G-Brownian motion super linear expectation normal distribution backward stochastic differential equations
2010/11/30
This paper first studies super linear G-expectation. Uniqueness and existence theorem for backward stochastic differential equations (BSDEs) under super linear expectation is stablished to provide pro...
q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
q-Bernstein polynomial Bernoulli numbers and polynomials
2010/12/8
Recently, T. Kim([4]) introduced q-Bernstein polynomials which are different q-Bernstein polynomials of Phillips([12]). In this paper, we give p-adic q-integral representation for Kim’s q-Bernstein po...
On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
triangles determined Euclidean plane associated bilinear operators discrete geometry
2010/12/6
We prove that if the Hausdorff dimension of the set E R2 is greater than 74 , then the three-dimensional Lebesgue measure of the set of triangles determined by E is positive. We
establish this fact...
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials
Bernstein polynomials Bosonic p-adic integrals
2010/11/26
We investigate some interesting properties of the Bernstein poly-nomials related to the bosonic p-adic integrals on Zp.
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
Finite dimensional irreducible representations finite W-algebras associated classical Lie algebras
2010/12/9
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...
Degenerate homogeneous parabolic equations associated with the infinity-Laplacian
Degenerate homogeneous parabolic equations infinity-Laplacian
2010/12/8
We prove existence and uniqueness of viscosity solutions to the degenerate parabolic problem ut = h 1u where h 1 is the h-homogeneous operator associated with the infinity-Laplacian, h 1u = |Du|h&#...
This paper is motivated by relations between association and in-dependence of random variables. It is well-known that for real ran-dom variables independence implies association in the sense of Esary,...