in this paper, we give a necessary condition for function in l^2with its dual to generate a dual shearlet tight frame with respect to admissibility.

This paper is concerned with the logical structure of arithmetical the ories We survey results concerning logics and admissible rules of con structive arithmetical theories We prove a new theorem the admissible propositional rules of Heyting Arithmetic are the same as the admissible propositional rules of Intuitionistic Propositional Logic We provide some further insights concerning predicate l...

In this paper we consider the following separate but related questions: “How do we construct an effective admissible domain representation of a space X from a pseudobasis on X?”, and “How do we construct an effective admissible domain representation of the inductive limit of a directed system (Xi)i∈I of topological spaces, given effective admissible domain representations of the individual spac...

Targeting at sparse multi-task learning, we consider regularization models with an ?1 penalty on the coefficients of kernel functions. In order to provide a method for this model, construct class vector-valued reproducing Banach spaces norm. The notion admissible kernels is proposed so that constructed could have desirable properties including crucial linear representer theorem. Such are relate...

n-Dimensional fuzzy sets are a set extension where the membership values n-tuples of real numbers in unit interval [0,1] increasingly ordered, called n-dimensional intervals. The intervals is denoted by Ln([0,1]). This paper aims to investigate semi-vector spaces over weak semifield and aggregation functions concerning an admissible order on construction Ln([0,1]) based operations spaces. In pa...

This paper addresses the problem of robust state estimation of switched uncertain systems subject to unknown disturbances. The proposed approach is based on switched interval observers which provide guaranteed lower and upper bounds allowing to evaluate the set of admissible values of the real state vector. The stability and cooperativity conditions of the proposed switched observer are express...

for every fixed point xoiD, with a similar requirement for the derivatives of u. Many researches were performed in this connection, however such a solution of the proposed problem fails to bring into evidence the functional dependence of u on the data / and g. We shall adopt a different enunciation of the problem. Let us suppose that the space 5 of all admissible functions is a Banach space and...

where umm, wmax are given real numbers. Such a control is further denoted as an admissible one. Finally, x e R" is the vector of state variables and x0 e R" is the given initial state of the system. More general forms of bilinear systems are described in [3]. Examples of practical application of bilinear systems are presented in [3], [4], [5]. In this paper special representation for trajectori...

Let x denote a diffusion process defined on a closed compact manifold. In an earlier article, the author introduced a new approach to constructing admissible vector fields on the space of paths associated to x, under the assumption that x is elliptic. In this article, this method is extended to yield similar results for degenerate diffusion processes. In particular, these results apply to non-e...

In this paper, a new method of feature extraction based on design of cubic spline wavelet has been described. Dialectal zone based speaker classification in Marathi language has been attempted in the open set mode using polynomial classifier. The method consists of dividing the speech signal into nonuniform subbands in approximate Mel-scale using an admissible wavelet packet filterbank and mode...