Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- ...

Let Ω ⊆ R be an open set of measure 1. An open set D ⊆ R is called a tight orthogonal packing region for Ω if D − D does not intersect the zeros of the Fourier Transform of the indicator function of Ω. Suppose that Λ is a discrete subset of R. The main contribution of this paper is a new way of proving the folowing result (proved by Lagarias, Reeds and Wang and, in the case of Ω being the cube,...

Abstract We prove that a finite index regular inclusion of $II_1$ -factors with commutative first relative commutant is always crossed product subfactor respect to minimal action biconnected weak Kac algebra. Prior this, we every which depth 2 and has simple (respectively, or commutant) admits two-sided Pimsner–Popa basis unitary orthonormal basis).

abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

Orthonormal spin-flavor wave functions of Lorentz covariant quark models of the Bakamjian-Thomas type are constructed for nucleon resonances. Three different bases are presented. The manifestly Lorentz covariant Dirac-Melosh basis is related to the Pauli-Melosh basis and the symmetrized Bargmann-Wigner basis that are manifestly orthogonal.

Consider additive functionals of a Markov chain Wk , with stationary (marginal) distribution and transition function denoted by π and Q, say Sn = g(W1) + · · · + g(Wn), where g is square integrable and has mean 0 with respect to π . If Sn has the form Sn =Mn + Rn, where Mn is a square integrable martingale with stationary increments and E(R2 n) = o(n), then g is said to admit a martingale appro...

We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen in J. Anal. Math. 75,1998, pp 185-228. A complete characterization for all maximal sets of orthogonal exponentials is obtained by establishing a one-to-one correspondence with the spectral labelings of the infinite binary tree. With the help of this characterization we obtain a sufficient condit...

Abstract Consider additive functionals of a Markov chain Wk, with stationary (marginal) distribution and transition function denoted by π and Q, say Sn = g(W1) + · · ·+ g(Wn), where g is square integrable and has mean 0 with respect to π. If Sn has the form Sn = Mn + Rn, where Mn is a square integrable martingale with stationary increments and E(R 2 n) = o(n), then g is said to admit a martinga...