This book provides a systematic survey of classical and recent results on hyperbolic cross
approximation. Motivated by numerous applications, the last two decades have seen great …

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 x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n
general linear functionals of x and then reconstruct. If x is known to be compressible by …

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

Consider the high-dimensional linear regression model y= X β*+ w, where y∈\BBR n is an
observation vector, X∈\BBR n× d is a design matrix with d>; n, β*∈\BBR d is an unknown …

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 …

抄録< jats: p> The distribution of the eigenvalues of differential operators has long fascinated
mathematicians. Advances have shed light upon classical problems in this area, and this …

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) …

n This book deals with several aspects of fractal geometry in? which are closely connected
with Fourier analysis, function spaces, and appropriate (pseudo) differ-tial operators. It …

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 …