This book contains details of the properties that satisfy certain function spaces and vector-valued distributions defined in the n-dimensional torus. In particular, the text deals with an introductory ...

If the space of all real-valued functions of bounded variation on a real closed interval is endowed with the topology of simple convergence, then every bounded subset which is bounded for the values ...

A generalization of Mallat’s classical multiresolution analysis, based on the theory of spectral pairs, was considered in two articles by Gabardo and Nashed. In this setting, the associated ...