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Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Another extension of the disc algebra
Disc Algebra Mergelyan’s Theorem Polynomial Approximation
2011/2/22
We identify the complex plane C with the open unit disc D = {z ∈ C : |z| < 1}by the homeomorphism C ∋ z 7→ z 1+|z| ∈ D.
Large-scale interval and point estimates from an empirical Bayes extension of confidence posteriors
Large-scale interval point estimates empirical Bayes extension confidence posteriors
2011/3/4
In statistical genomics, bioinformatics, and neuroinformatics, truth values of multiple
hypotheses are often modeled as random quantities of a common mixture distribution in order to estimate false d...
Extension results for boolean maps and a class of systems of linear inequalities
Involution posets boolean maps systems of linear inequalities
2011/2/28
In this paper we introduce the notion of core for two specific classes of boolean maps on finite involution posets (which are a generalization of the boolean lattices) and we prove some extension resu...
An extension of the disc Algebra
Disc Algebra Mergelyan’s Theorem chordal metric polyno-mial approximation generic property
2010/12/14
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...
A Multinomial Extension of an Inequality of Haber
Haber inequality multinomial coefficient symmetric functions
2010/1/25
In this paper, we establish the following: Let be non negative real numbers, then for all we have The case gives the Haber inequality. We apply the result to find lower bounds for the sum of r...
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
Equi-statistical convergence positive linear operator Korovkin type theorem
2010/2/25
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construc...
General Solutions of Matrix Extension Associated with Multiple Channel Biorthogonal Wavelet Filters
matrix extension refinement equation biorthogonal wavelet
2007/12/11
This paper is concerned with seeking the general solutions of matrix equation $\widetilde{M}(\xi)M^*(\xi)=I_s$ for the construction of multiple channel biorthogonal wavelets, provided that some specia...