The construction of bi-frames is a fundamental problem in frame theory. Due to their wide applications, the study of vector-valued frames and subspace frames has interested many mathematicians in ...

Abstract: In this article, a complete set of real-valued entire-domain vector basis functions is developed on a circular domain. The basis functions are constructed based on the orthogonal Zernike ...

In this paper, the vector-valued regular functions are extended to the locally convex space. The residues theory of the functions in the locally convex space is achieved. Thereby the Cauchy theory and ...

In this paper, by virtue of separation theorems of convex sets and scalarization functions, some minimax inequalities are first considered. As applications, some existence theorems of vector ...

What I'm trying to do is dimensionality reduction of a set of m log files containing n time-related signals. They are all physical signals so they are all related to time t. where all the fnm are ...