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Vector coherent state representations and their inner products
Vector coherent state representations their inner products Mathematical Physics
2012/7/11
Several advances have extended the power and versatility of coherent state theory to the extent that it has become a vital tool in the representation theory of Lie groups and their Lie algebras. Repre...
On the calculation of inner products of Schur functions
Group theory Group Representation theory Symmetric group
2010/6/30
Two methods for calculating inner products of Schur functions in terms of outer products and plethysms are given and they are easy to implement on a machine. One of these is derived from a recent anal...
An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An integral inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the first part of the celebrated Hermite-Hadamard inequality. Appl...
An Inequality Improving the Second Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
Hermite-Hadamard integral inequality Convex functions Semi-Inner Products
2008/7/2
An inequality for convex functions defined on linear spaces is obtained which contains in a particular case a refinement for the second part of the celebrated Hermite-Hadamard inequality. Applications...
Maximization for Inner Products Under Quasi-Monotone Constraints
Inner Products Recurrence Monotonicity Discretization Global Optimization
2008/6/30
This paper studies optimization for inner products of real vectors assuming monotonicity properties for the entries in one of the vectors. Resulting inequalities have been useful recently in bounding ...
