GOOD: The book is in excellent condition, but a previous owner's name was written on the front end page. The binding is tight and the remaining pages are free of writing. The book was printed on acid-free paper.
Product Details
From the authors in the Preface: "As with Schoenberg's cardinal system, box spines give rise to an intriguing and beautiful mathematical theory, much more intricate and rich, hence less complete at present. The basic facts, however, have been available for several years, albeit in various papers only. Several of these papers are quite long, and are more devoted to the publication of specific new results than to a careful exposition of the theory. We wrote this book to remedy this.
"We have note merely organized the available material in some cohesive way, but have also looked quite carefully at the available arguments and, in many cases, modified them considerably, in line with our goal to provide simple and complete proofs.
"While we have endeavored to provide an up-to-date bibliography of papers concerned with box spines, we have made no attempt to report here anything more than what we consider to be the basic box spline theory. In particular, we have included nothing about spaces generated by several box spines, since their theory is far from complete at present. Neither have we dealt with the promising theory of exponential box splines."
BRIEF CONTENTS
Preface
Notation
Chapter I - Box splines defined
Chapter II - The linear algebra of box spline spaces
Chapter III - Quasi-interpolants & approximation power
Chapter IV - Cardinal interpolation & difference equations
Chapter V - Approximation by cardinal splines & wavelets
Chapter VI - Discrete box splines & linear diophantine equations
