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).

Let ${ p\_{n}}$ denote the orthonormal polynomials associated with a measure $\mu$ compact support on real line. be regular in sense of Stahl, Totik, and Ullmann, $I$ subinterval which is absolutely continuous, while $\mu'$ positive continuous there. We show that boundedness $% { closely related to spacing zeros $p\_{n}$ $p\_{n-1}$ interval. One ingredient proving “local limits” imply universal...

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.

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...

We construct a new orthonormal basis for L(R), whose elements are angularly integrated ridge functions — orthonormal ridgelets. The new basis functions are in L(R) and so are to be distinguished from the ridge function approximation system called ridgelets by Candès (1997, 1998), as ridge functions are not in L(R). Orthonormal ridgelet expansions have an interesting application in nonlinear app...

In this paper we develop a sublinear-time compressive sensing algorithm for approximating functions of many variables which are compressible in given Bounded Orthonormal Product Basis (BOPB). The resulting is shown to both have an associated best s-term recovery guarantee the BOPB, and also work well numerically solving sparse approximation problems involving contained span fairly general sets ...

Our proof of [1, Theorem 1.1] is partially incorrect. The reason that, contrary to what we claimed, the construction space $${\mathscr {H}}^s$$ depends on orthonormal basis $$(\rho _k)$$ . We give in present note a new that needs little bit stronger assumption.

We give many examples of bivariate nonseparable compactly supported orthonormal wavelets whose scaling functions are supported over [0,3]x[0,3]. The Holder continuity properties of these wavelets are studied.

In this paper we discuss a new robust tracking technique applied to histograms of intensity normalized color. This technique supports a video codec based on orthonormal basis coding. Orthonormal basis coding can be very efficient when the images to be coded have been normalized in size and position. However, an imprecise tracking procedure can have a negative impact on the efficiency and the qu...