A variant of a theorem of Ekin, Foldes, Hammer and Hellerstein concerning equational characterizations of Boolean function classes is proved using methods of universal algebra. The proof is not constructive but establishes a direct connection with the Birkhoff-Tarski HSP Theorem and the theory of equational classes of universal algebras.

In honor of the 100th birthday of the article, " Sur les groupes continus " Abstract: A methodical analysis of the research related to the article , " Sur les groupes continus " , of Henri Poincaré reveals many historical misconceptions and inaccuracies regarding his contribution to Lie theory. A thorough reading of this article confirms the precedence of his discovery of many important concept...

Multivariable generalizations of the classical Hermite, Laguerre and Jacobi polynomials occur as the polynomial part of the eigenfunctions of certain Schrödinger operators for Calogero-Sutherland-type quantum systems. For the generalized Hermite and Laguerre polynomials the multidimensional analogues of many classical results regarding generating functions, differentiation and integration formu...

In the MUSIC approach for multiple emitter location, the array covariance matrix is a Hermite matrix. In order to realize the MUSIC approach, we have to do the work of eigenvalue-based decomposition of the Hermite matrix. This paper proves that the problem of Hermite matrix decomposition can be transformed into the problem of real symmetric matrix decomposition, and the article gives the detail...