Generalized limits in general analysis. I

Generalized Limits in General Analysis.

In a previous paper of the same titlet I have developed the fundamental principles of a general theory which includes as particular instances the theories of Cesàro and Holder summability of divergent series and divergent integrals. I further made use of these fundamental principles to prove a general theorem which includes as special cases several important theorems in the above mentioned spec...

Generalized Limits in General Analysis , First Paper

The analogies that exist between infinite series and infinite integrals are well known and have frequently served to indicate the extension of a theorem or a method from one of these domains of investigation to the other. According to a principle of generalization that has been formulated by E. H. Moore, the presence of such analogies implies the existence of a general theory which includes the...

Generalized Covering Groups and Direct Limits

Fundamental Limits of Wideband Localization - Part I: A General Framework

The availability of position information is of great importance in many commercial, public safety, and military applications. The coming years will see the emergence of location-aware networks with submeter accuracy, relying on accurate range measurements provided by wide bandwidth transmissions. In this twopart paper, we determine the fundamental limits of localization accuracy of wideband wir...

generalized covering groups and direct limits