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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.
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.
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...
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...
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...
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...
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...
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...

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