On innate and specific aspects of human language

Mixel Aurnague, Kepa Korta and Jesus M. Larrazabal (eds.)

A Brief Grammar of Euskara, the Basque Language

This is a short grammar of the Basque language, or Euskara as it is called by its speakers. What follows is a partial description of the syntax of Euskara. The text has been arranged in the following fashion: there is an index where you can find the distribution of topics. Within each of the topics, an effort has been made to arrange information from general to specific, so that as you read into a given section, you will get into more details about the topic being under discussion. This grammar hopes to be useful to a wide variety of users. Therefore, it will probably not satisfy anyone completely: Those who want a quick 'feel' for the language will be disappointed by the slow and messy details the text dives into. Those who want a detailed, professional description will be disappointed by the lack of depth in the discussion. The text hopes to sit somewhere in the middle, and if it tells too much to those who want to know a little, and too little to those who want to know a lot, then it will have done its job.

A study of the proposed Santa Fe extension from the present Redondo Branch at El Segundo to Los Angeles Harbor

The Los Angeles Harbor at San Pedro with its natural advantages, and the big development of these now underway, will very soon be the key to the traffic routes of Southern California. The Atchison, Topeka, and Santa Fe railway company realizing this and, not wishing to be caught asleep, has planned to build a line from El Segundo to the harbor. The developments of the harbor are not the only developments taking place in these localities and the proposed new line is intended to include these also.

Extension theorems for functions of vanishing mean oscillation

A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillation over cubes in R^d converges to zero with the volume of the cubes. We establish necessary and sufficient conditions for a locally integrable function defined on a bounded measurable set of positive measure to be the restriction to that set of a VMO function.

We consider the similar extension problem pertaining to BMO(ρ) functions; that is, those VMO functions whose mean oscillation over any cube is O(ρ(l(Q))) where l(Q) is the length of Q and ρ is a positive, non-decreasing function with ρ(0⁺) = 0.

We apply these results to obtain sufficient conditions for a Blaschke sequence to be the zeros of an analytic BMO(ρ) function on the unit disc.