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Condition R and proper holomorphic maps between equidimensional product domains
Condition R proper holomorphic maps equidimensional product domains Complex Variables
2012/4/17
We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded do...
Complex structures on product of circle bundles over complex manifolds
Complex structures product of circle bundles complex manifolds
2011/1/17
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
Dispersive estimates and NLS on product manifolds
decay estimates dispersive equations hyperbolic space
2011/1/17
We prove a general dispersive estimate for a Schr¨odinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates....
Testing the functional equations of a high-degree Euler product
the functional equations a high-degree Euler product
2010/11/11
We study the L-functions associated to Siegel modular forms (equivalently, automorphic representations of ${\rm GSp}(4,\mathbb{A}_{\mathbb{Q}})$) both theoretically and numerically. For the L-functio...
New associative product of three states generalizing free, monotone, anti-monotone, Boolean, conditionally free and conditionally monotone products
Conditionally free independence free independence monotone indepen-dence Boolean independence cumulants
2010/12/1
We define a new independence in three states called indented independence which unifies many independences: free, monotone, anti-monotone, Boolean, conditionally free, condi-tionally monotone and cond...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
Negative Results Concerning Fourier Series on the Complete Product of $\mathcal{S}_3$
Fourier series Walsh-system Vilenkin systems Representative product systems
2010/1/22
The aim of this paper is to continue the studies about convergence in -norm of the Fourier series based on representative product systems on the complete product of finite groups. We restrict our atte...