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HOPF MONOIDS FROM CLASS FUNCTIONS ON UNITRIANGULAR MATRICES
Unitriangular matrix class function superclass function
2015/8/14
We build, from the collection of all groups of unitriangular matrices, Hopf
monoids in Joyal’s category of species. Such structure is carried by the collection of
class function spaces on those grou...
The scope of refinable functions in wavelet theory is focused to localized functions. In our
paper we like to widen that scope, in particular we show that all polynomial functions are refinable. This...
Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions
Hadamard’s inequality co-ordinated convex Godunova-Levin functions
2011/3/1
In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P−convex functions, therefore we proved a new inequality inv...
Operator monotone functions and Löwner functions of several variables
Operator monotone functions Lö wner functions of several variables
2010/12/9
We prove generalizations of L¨owner’s results on matrix monotone functions to several variables. We give a characterization of when a function of d variables is locally monotone on d-tuples of commuti...
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.