in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

This paper addresses the efficient computation of frame bounds for cosine-modulated filterbanks. We derive explicit expressions for the eigenvalues of the frame operator that can be easily computed from the prototype's polyphase components. The number of channels and the downsampling factor may be even or odd, and the oversampling factor is supposed to be an integer. The analysis of low-delay, ...

Semi-automatic measurement of objects with regular shapes can be performed efficiently in three steps: (1) selection of an object model and approximate alignment of the object by a human operator, (2) precise alignment to the image by a fitting algorithm, and (3) correction of fitting errors by a human operator. This paper presents a new approach to perform these three steps using the same algo...

We apply Lax-Milgram theorem to characterize scalable and piecewise frame in finite infinite-dimensional Hilbert spaces. also introduce a method for approximating the inverse operator using finite-dimensional linear algebra which, best of our knowledge, is new literature.

We derive a first-order, stable and causal, relativistic hydrodynamic theory from the microscopic kinetic equation using gradient expansion technique in general frame. The frame is introduced arbitrary matching conditions for fields. interaction Boltzmann through momentum-dependent relaxation time approximation (MDRTA) with proposed collision operator that preserves conservation laws. demonstra...

We introduce the notion of a g-atomic subspace for bounded linear operator and construct several useful resolutions identity on Hilbert space using theory g-fusion frames. Also we shall describe concept frame pair Bessel sequences some their properties.

An efficient formulation for dynamic analysis of planar Timoshenko’s beam with finite rotations is presented. Both an inertial frame and a rotating frame are introduced to simplify computational manipulation. The kinetic energy of the system is obtained by using the inertial frame so that it takes a quadratic uncoupled form. The rotating frame together with the small strain assumption is employ...

The paper proposes a novel algorithm to dynamically define the Region of Interest (ROI) videophone application. The algorithm uses the color information Hue and Cr to find the skincolor pixels and also use range of threshold obtained from red and blue components in normalized RGB color space to remove nonskincolor pixels because the human skin tends to have a predominance of red and non-predomi...

In this paper, we investigate the mapping of continuous g-frames in Hilbert C*-module under bounded operators. So, operators that preserve continuous g-frames in Hilbert C*-module were characterized. Then, we introduce equivalent continuous g-frames in Hilbert C*-module by the mapping of continuous g-frames in Hilbert C*-module under bounded operators. We show that every continuous g-frame in H...

We study sparsity and spectral properties of dual frames of a given finite frame. We show that any finite frame has a dual with no more than n2 non-vanishing entries, where n denotes the ambient dimension, and that for most frames no sparser dual is possible. Moreover, we derive an expression for the exact sparsity level of the sparsest dual for any given finite frame using a generalized notion...