This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as
volume 202 in this series. Asymptotic geometric analysis studies properties of geometric …

Suppose we are given a vector< emphasis>< formula formulatype=" inline">< tex>
f</tex></formula></emphasis> in a class< emphasis>< formula formulatype=" inline">< tex> …

The study of high-dimensional convex bodies from a geometric and analytic point of view,
with an emphasis on the dependence of various parameters on the dimension stands at the …

This paper introduces a simple and very general theory of compressive sensing. In this
theory, the sensing mechanism simply selects sensing vectors independently at random …

Now in paperback, this popular book gives a self-contained presentation of a number of
recent results, which relate the volume of convex bodies in n-dimensional Euclidean space …

Compressed sensing is a new concept in signal processing where one seeks to minimize
the number of measurements to be taken from signals while still retaining the information …

Let S be a subset in the Euclidean space ℝ n and 1<-k< n. We find sufficient conditions
which guarantee the existence and even with probability close to 1, of k-codimensional …

This first book on greedy approximation gives a systematic presentation of the fundamental
results. It also contains an introduction to two hot topics in numerical mathematics: learning …

The quest to build a quantum computer is arguably one of the major scientific and
technological challenges of the twenty-first century, and quantum information theory (QIT) …

Consider the Euclidean ball B n in R n. It is well known that B can be approximated in the
Hausdorff metric by a sum of segments. Given e> 0, what is the number N needed so that the …