It is known that a real valued measure (1) on the a-ring of Baire sets of a locally compact Hausdorff space, or (2) on the Borel sets of a complete separable metric space is regular. Recently Dinculeanu and Kluvanek used regularity of non-negative Baire measures to prove that any Baire measure with values in a locally convex Hausdorff topological vector space (TVS) is regular. Subsequently a di...

In the literature, the bounds of the peak to average power ratio (PAPR) are generalized to both complex-valued and real-valued orthogonal frequency division multiplexing (OFDM) signals. In fact, these bounds are accurately bounding the PAPR distribution of complex-valued OFDM signals only. In this paper, we derive accurate PAPR bounds of real-valued OFDM signals and show that bounds of complex-...

The Lipschitz function algebras were first defined in the 1960s by some mathematicians, including Schubert. Initially, the Lipschitz real-value and complex-value functions are defined and quantitative properties of these algebras are investigated. Over time these algebras have been studied and generalized by many mathematicians such as Cao, Zhang, Xu, Weaver, and others. Let  be a non-emp...