A set of polynomials is called a submodule $\mathbb C [x_1 ,\ldots , x_n ]$ if it translation invariant linear subspace ]$. We present description the submodules [x,y]$ in terms

Let A be a bounded self-adjoint operator on a separable Hilbert space H and H0 ⊂ H a closed invariant subspace of A. Assuming that H0 is of codimension 1, we study the variation of the invariant subspace H0 under bounded self-adjoint perturbations V of A that are off-diagonal with respect to the decomposition H = H0 ⊕H1. In particular, we prove the existence of a oneparameter family of dense no...

We have developed a new framework for scale invariant texture analysis using multi-scale local autocorrelation features. The multiscale features are made of concatenated feature vectors of different scales, which are calculated from higher-order local autocorrelation functions. To classify different types of textures among the given test images, a linear discriminant classifier (LDA) is employe...

This paper presents a generalization of the invariant subspace theorem of Helson and Lowdenslager along the lines of de Branges’ generalization of Beurling’s theorem.

Let A be a bounded self-adjoint operator on a separable Hilbert space H and H0 ⊂H a closed invariant subspace of A. Assuming that supspec(A0)≤ inf spec(A1), where A0 and A1 are restrictions of A onto the subspaces H0 and H1 = H ⊥ 0 , respectively, we study the variation of the invariant subspace H0 under bounded self-adjoint perturbations V that are off-diagonal with respect to the decompositio...

Let $\mathcal{W}$ be the wandering subspace corresponding to an invariant of Bergman shift. By identifying space with $H^2(\mathbb{D}^2)\ominus[z-w]$, we give a necessary and sufficient condition for closed $H^2(\mathbb{D}^2)\ominus[z-w]$ subspace. Furthermore, present functional characterization coefficient function in Finally, define operator from one another, get decomposition theorem such o...

In this short note we report on invariant subspaces in Simpira in the case of four registers. In particular, we show that the whole input space (respectively output space) can be partitioned into invariant cosets of dimension 56 over F 28 . These invariant subspaces are found by exploiting the non-invariant subspace properties of AES together with the particular choice of Feistel configuration....

Abstract: In this paper, we develop the symmetry-related methods to study invariant subspaces of the two-dimensional nonlinear differential operators. The conditional Lie–Bäcklund symmetry and Lie point symmetry methods are used to construct invariant subspaces of two-dimensional differential operators. We first apply the multiple conditional Lie–Bäcklund symmetries to derive invariant subspace...

Let A be a bounded self-adjoint operator on a separable Hilbert space H and H0 ⊂ H a closed invariant subspace of A. Assuming that H0 is of codimension 1, we study the variation of the invariant subspace H0 under bounded self-adjoint perturbations V of A that are off-diagonal with respect to the decomposition H = H0 ⊕ H1. In particular, we prove the existence of a one-parameter family of dense ...

Functions in backward shift invariant subspaces have nice analytic continuation properties outside the spectrum of the inner function defining the space. Inside the spectrum of the inner function, Ahern and Clark showed that under some distribution condition on the zeros and the singular measure of the inner function, it is possible to obtain non-tangential boundary values of every function in ...