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The discovery of 139 Child Non-syndromic Intellectual Disability associated genetic copy number variation loci with biological insights
Gene copy biological
2014/12/5
Intellectual disability (ID) is a highly heritable mental disease. Especially, the
underlying molecular mechanism of non-syndromic intellectual disability (NSID), a
subtype of ID with no ...
An operator inequality associated with Hilbert's type integral inequality
mathematical analysis integral operator Beta function Hilbert's type integral inequality
2011/9/29
In the paper, by using the way of weight functions and the theory of operators, we define a new Hilbert-type integral operator and obtain its norm. As applications, a Hilbert-type operator inequality ...
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...
Mutation-Periodic Quivers, Integrable Maps and Associated Poisson Algebras
Integrable Maps Associated Poisson Algebras
2010/4/2
We consider a class of map, recently derived in the context of cluster mutation. In this paper we start with a brief review of the quiver context, but then move onto a discussion of a related Poisson ...
L. Kamoun and S. Negzaoui, Lipschitz Spaces Associated with Reflection
Dunkl operator Dunkl transform Dunkl translation operator Bochner-Riesz means partial Dunkl integrals Lipschitz-Dunkl spaces
2009/6/16
In this paper we introduce the Lipschitz-Dunkl spaces associated with reflection group
Zd2
. We provide characterizations of these spaces involving Bochner-Riesz means and
we obtain an approximatio...
ALMOST-PERIODIC FUNCTIONS AND DISTRIBUTIONS ASSOCIATED WITH THE DUNKL OPERATOR ON R
Dunkl operator Bohr-almost-periodic functions Bohr-almost-periodic distributions Generalized-almost-periodic functions Generalized-almost-periodic distributions intertwining operator Fourier-Dunkl expansion Dunkl-Poisson formula
2008/11/28
Almost periodic functions and distributions associated with the differential-difference
Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give
their expansions in terms o...
New Tensor Norms and Operator Ideals Associated to Interpolation Spaces Between Sequence Spaces
Tensor norms operator ideals lr-nuclear and lr-integral operators
2010/3/1
We introduce a wide class of tensor norms gl,r which are defined with the help of interpolation spaces between perfect sequence spaces defined by a general parameter real interpolation method. We also...