In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.

‎In this paper‎, ‎we investigate the invariant elements of the dual mod $p$ Steenrod subalgebra ${mathcal{A}_p}^*$ under the conjugation map $chi$ and give bounds on the dimensions of $(chi-1)({mathcal{A}_p}^*)_d$‎, ‎where $({mathcal{A}_p}^*)_d$ is the dimension of ${mathcal{A}_p}^*$ in degree $d$‎.

We study a class of dilatation invariant BPS surface operators in 4-dimensional N = 4 Super Yang-Mills theory and their holographic duals in type IIB string theory in AdS5×S. First we take an example of 1/4 BPS surface operator and study it in detail from the holographic point of view. The gravity dual of this surface operator is a D3-brane characterized by a holomorphic submanifold. The supers...

The evolution of thin film morphology during atmospheric pressure deposition has been studied utilizing Monte Carlo methods. Time invariant root-mean-squared roughness and local roughness morphology were both observed when employing a novel simulation parameter, modeling the effect of the experimental high pressure condition. This growth regime, where the surface roughness remains invariant aft...

For monitoring purposes, change detection and segmentation of remotely sensed multispectral images it is necessary to normalize the images in order to yield spectral signatures independent of illumination, atmospheric conditions and surface orientations. For small scale artiicial objects in high resolution images however, the surface orientation is not known, and hence comparison of spectral si...

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Let S be a locally compact foundation semigroup with identity and                          be its semigroup algebra. Let X be a weak*-closed left translation invariant subspace of    In this paper, we prove that  X  is invariantly  complemented in   if and  only if  the left ideal  of    has a bounded approximate identity. We also prove that a foundation semigroup with identity S is left amenab...

A moduli space is a space that parametrizes geometric objects. For example, elliptic curves are classified by the so-called J-invariant, so the moduli space of elliptic curves is a line (with coordinate J). More generally, there exists a moduli space, calledMg , which parametries all projective algebraic curves of genus g (equivalently, all compact Riemann surfaces of genus g). The Jacobian of ...

It is well-known that image pixel values of an object could vary if the lighting conditions change. Some common factors that produce changes in the pixels values are due to the viewing and the illumination direction, the surface orientation and the type of surface. For the last years, different works have addressed that problem, proposing invariant representations to the previous factors for co...